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Finding the Fourth Proportional to 591.43, 887.92 and 505.31

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Solution

The fourth proportional to 591.43, 887.92 and 505.31 is: 758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.43 : 887.92 = 505.31 : x
  2. Step 2: Convert to fraction form
    591.43/887.92 = 505.31/x
  3. Step 3: Cross multiply
    591.43x = 887.92 × 505.31
  4. Step 4: Simplify right side
    591.43x = 448,674.86
  5. Step 5: Solve for x
    x = 448,674.86/591.43
  6. Step 6: Final answer
    x = 758.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.