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Finding the Fourth Proportional to 807.67, 1,115.58 and 714.70

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Solution

The fourth proportional to 807.67, 1,115.58 and 714.70 is: 987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.67 : 1,115.58 = 714.70 : x
  2. Step 2: Convert to fraction form
    807.67/1,115.58 = 714.70/x
  3. Step 3: Cross multiply
    807.67x = 1,115.58 × 714.70
  4. Step 4: Simplify right side
    807.67x = 797,305.03
  5. Step 5: Solve for x
    x = 797,305.03/807.67
  6. Step 6: Final answer
    x = 987.17

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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.