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Finding the Fourth Proportional to 931.47, 1,397.88 and 540.95

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Solution

The fourth proportional to 931.47, 1,397.88 and 540.95 is: 811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.47 : 1,397.88 = 540.95 : x
  2. Step 2: Convert to fraction form
    931.47/1,397.88 = 540.95/x
  3. Step 3: Cross multiply
    931.47x = 1,397.88 × 540.95
  4. Step 4: Simplify right side
    931.47x = 756,184.06
  5. Step 5: Solve for x
    x = 756,184.06/931.47
  6. Step 6: Final answer
    x = 811.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.