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Finding the Fourth Proportional to 591.32, 815.76 and 342.56

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Solution

The fourth proportional to 591.32, 815.76 and 342.56 is: 472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 815.76 = 342.56 : x
  2. Step 2: Convert to fraction form
    591.32/815.76 = 342.56/x
  3. Step 3: Cross multiply
    591.32x = 815.76 × 342.56
  4. Step 4: Simplify right side
    591.32x = 279,446.75
  5. Step 5: Solve for x
    x = 279,446.75/591.32
  6. Step 6: Final answer
    x = 472.58

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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.