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Finding the Fourth Proportional to 807.76, 1,115.17 and 542.58

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Solution

The fourth proportional to 807.76, 1,115.17 and 542.58 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.76 : 1,115.17 = 542.58 : x
  2. Step 2: Convert to fraction form
    807.76/1,115.17 = 542.58/x
  3. Step 3: Cross multiply
    807.76x = 1,115.17 × 542.58
  4. Step 4: Simplify right side
    807.76x = 605,069.67
  5. Step 5: Solve for x
    x = 605,069.67/807.76
  6. Step 6: Final answer
    x = 749.08

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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.