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Finding the Fourth Proportional to 931.10, 1,285.20 and 538.38

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Solution

The fourth proportional to 931.10, 1,285.20 and 538.38 is: 743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.10 : 1,285.20 = 538.38 : x
  2. Step 2: Convert to fraction form
    931.10/1,285.20 = 538.38/x
  3. Step 3: Cross multiply
    931.10x = 1,285.20 × 538.38
  4. Step 4: Simplify right side
    931.10x = 691,925.98
  5. Step 5: Solve for x
    x = 691,925.98/931.10
  6. Step 6: Final answer
    x = 743.13

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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.