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Finding the Fourth Proportional to 591.77, 887.31 and 283.38

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Solution

The fourth proportional to 591.77, 887.31 and 283.38 is: 424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.77 : 887.31 = 283.38 : x
  2. Step 2: Convert to fraction form
    591.77/887.31 = 283.38/x
  3. Step 3: Cross multiply
    591.77x = 887.31 × 283.38
  4. Step 4: Simplify right side
    591.77x = 251,445.91
  5. Step 5: Solve for x
    x = 251,445.91/591.77
  6. Step 6: Final answer
    x = 424.91

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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.