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Finding the Fourth Proportional to 551.38, 830.92 and 471.28

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Solution

The fourth proportional to 551.38, 830.92 and 471.28 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.38 : 830.92 = 471.28 : x
  2. Step 2: Convert to fraction form
    551.38/830.92 = 471.28/x
  3. Step 3: Cross multiply
    551.38x = 830.92 × 471.28
  4. Step 4: Simplify right side
    551.38x = 391,595.98
  5. Step 5: Solve for x
    x = 391,595.98/551.38
  6. Step 6: Final answer
    x = 710.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.