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Finding the Fourth Proportional to 591.52, 815.76 and 392.16

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Solution

The fourth proportional to 591.52, 815.76 and 392.16 is: 540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.52 : 815.76 = 392.16 : x
  2. Step 2: Convert to fraction form
    591.52/815.76 = 392.16/x
  3. Step 3: Cross multiply
    591.52x = 815.76 × 392.16
  4. Step 4: Simplify right side
    591.52x = 319,908.44
  5. Step 5: Solve for x
    x = 319,908.44/591.52
  6. Step 6: Final answer
    x = 540.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.