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Finding the Fourth Proportional to 781.84, 1,172.92 and 538.48

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Solution

The fourth proportional to 781.84, 1,172.92 and 538.48 is: 807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.84 : 1,172.92 = 538.48 : x
  2. Step 2: Convert to fraction form
    781.84/1,172.92 = 538.48/x
  3. Step 3: Cross multiply
    781.84x = 1,172.92 × 538.48
  4. Step 4: Simplify right side
    781.84x = 631,593.96
  5. Step 5: Solve for x
    x = 631,593.96/781.84
  6. Step 6: Final answer
    x = 807.83

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