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Finding the Fourth Proportional to 472.14, 711.42 and 392.76

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Solution

The fourth proportional to 472.14, 711.42 and 392.76 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 711.42 = 392.76 : x
  2. Step 2: Convert to fraction form
    472.14/711.42 = 392.76/x
  3. Step 3: Cross multiply
    472.14x = 711.42 × 392.76
  4. Step 4: Simplify right side
    472.14x = 279,417.32
  5. Step 5: Solve for x
    x = 279,417.32/472.14
  6. Step 6: Final answer
    x = 591.81

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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.