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Finding the Fourth Proportional to 472.19, 711.13 and 421.29

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Solution

The fourth proportional to 472.19, 711.13 and 421.29 is: 634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.19 : 711.13 = 421.29 : x
  2. Step 2: Convert to fraction form
    472.19/711.13 = 421.29/x
  3. Step 3: Cross multiply
    472.19x = 711.13 × 421.29
  4. Step 4: Simplify right side
    472.19x = 299,590.90
  5. Step 5: Solve for x
    x = 299,590.90/472.19
  6. Step 6: Final answer
    x = 634.48

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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.