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Finding the Fourth Proportional to 552.78, 763.12 and 428.16

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Solution

The fourth proportional to 552.78, 763.12 and 428.16 is: 591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.78 : 763.12 = 428.16 : x
  2. Step 2: Convert to fraction form
    552.78/763.12 = 428.16/x
  3. Step 3: Cross multiply
    552.78x = 763.12 × 428.16
  4. Step 4: Simplify right side
    552.78x = 326,737.46
  5. Step 5: Solve for x
    x = 326,737.46/552.78
  6. Step 6: Final answer
    x = 591.08

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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.