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Finding the Fourth Proportional to 915.97, 1,373.99 and 471.12

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Solution

The fourth proportional to 915.97, 1,373.99 and 471.12 is: 706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.97 : 1,373.99 = 471.12 : x
  2. Step 2: Convert to fraction form
    915.97/1,373.99 = 471.12/x
  3. Step 3: Cross multiply
    915.97x = 1,373.99 × 471.12
  4. Step 4: Simplify right side
    915.97x = 647,307.30
  5. Step 5: Solve for x
    x = 647,307.30/915.97
  6. Step 6: Final answer
    x = 706.69

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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.