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Finding the Fourth Proportional to 1,062.77, 1,464.21 and 931.55

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Solution

The fourth proportional to 1,062.77, 1,464.21 and 931.55 is: 1,283.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.77 : 1,464.21 = 931.55 : x
  2. Step 2: Convert to fraction form
    1,062.77/1,464.21 = 931.55/x
  3. Step 3: Cross multiply
    1,062.77x = 1,464.21 × 931.55
  4. Step 4: Simplify right side
    1,062.77x = 1,363,977.50
  5. Step 5: Solve for x
    x = 1,363,977.50/1,062.77
  6. Step 6: Final answer
    x = 1,283.42

Related Problems

Find fourth proportional to 531.38, 732.11 and 465.77
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.