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Finding the Fourth Proportional to 931.42, 1,285.08 and 538.43

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Solution

The fourth proportional to 931.42, 1,285.08 and 538.43 is: 742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.42 : 1,285.08 = 538.43 : x
  2. Step 2: Convert to fraction form
    931.42/1,285.08 = 538.43/x
  3. Step 3: Cross multiply
    931.42x = 1,285.08 × 538.43
  4. Step 4: Simplify right side
    931.42x = 691,925.62
  5. Step 5: Solve for x
    x = 691,925.62/931.42
  6. Step 6: Final answer
    x = 742.88

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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.