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Finding the Fourth Proportional to 1,140.14, 1,573.36 and 642.75

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Solution

The fourth proportional to 1,140.14, 1,573.36 and 642.75 is: 886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.14 : 1,573.36 = 642.75 : x
  2. Step 2: Convert to fraction form
    1,140.14/1,573.36 = 642.75/x
  3. Step 3: Cross multiply
    1,140.14x = 1,573.36 × 642.75
  4. Step 4: Simplify right side
    1,140.14x = 1,011,275.53
  5. Step 5: Solve for x
    x = 1,011,275.53/1,140.14
  6. Step 6: Final answer
    x = 886.97

Related Problems

Find fourth proportional to 570.07, 786.68 and 321.38
Half scale
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Double scale
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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.