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Finding the Fourth Proportional to 472.32, 711.45 and 421.56

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Solution

The fourth proportional to 472.32, 711.45 and 421.56 is: 634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 711.45 = 421.56 : x
  2. Step 2: Convert to fraction form
    472.32/711.45 = 421.56/x
  3. Step 3: Cross multiply
    472.32x = 711.45 × 421.56
  4. Step 4: Simplify right side
    472.32x = 299,918.86
  5. Step 5: Solve for x
    x = 299,918.86/472.32
  6. Step 6: Final answer
    x = 634.99

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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.