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Finding the Fourth Proportional to 472.52, 711.99 and 393.14

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Solution

The fourth proportional to 472.52, 711.99 and 393.14 is: 592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.52 : 711.99 = 393.14 : x
  2. Step 2: Convert to fraction form
    472.52/711.99 = 393.14/x
  3. Step 3: Cross multiply
    472.52x = 711.99 × 393.14
  4. Step 4: Simplify right side
    472.52x = 279,911.75
  5. Step 5: Solve for x
    x = 279,911.75/472.52
  6. Step 6: Final answer
    x = 592.38

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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.