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Finding the Fourth Proportional to 1,140.22, 1,573.41 and 642.76

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Solution

The fourth proportional to 1,140.22, 1,573.41 and 642.76 is: 886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.22 : 1,573.41 = 642.76 : x
  2. Step 2: Convert to fraction form
    1,140.22/1,573.41 = 642.76/x
  3. Step 3: Cross multiply
    1,140.22x = 1,573.41 × 642.76
  4. Step 4: Simplify right side
    1,140.22x = 1,011,325.01
  5. Step 5: Solve for x
    x = 1,011,325.01/1,140.22
  6. Step 6: Final answer
    x = 886.96

Related Problems

Find fourth proportional to 570.11, 786.71 and 321.38
Half scale
Find fourth proportional to 2,280.44, 3,146.82 and 1,285.52
Double scale
Find fourth proportional to 1,141.22, 1,574.79 and 643.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.