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Finding the Fourth Proportional to 931.13, 1,284.98 and 538.15

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Solution

The fourth proportional to 931.13, 1,284.98 and 538.15 is: 742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.13 : 1,284.98 = 538.15 : x
  2. Step 2: Convert to fraction form
    931.13/1,284.98 = 538.15/x
  3. Step 3: Cross multiply
    931.13x = 1,284.98 × 538.15
  4. Step 4: Simplify right side
    931.13x = 691,506.08
  5. Step 5: Solve for x
    x = 691,506.08/931.13
  6. Step 6: Final answer
    x = 742.65

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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.