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Finding the Fourth Proportional to 591.56, 887.28 and 398.78

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Solution

The fourth proportional to 591.56, 887.28 and 398.78 is: 598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.56 : 887.28 = 398.78 : x
  2. Step 2: Convert to fraction form
    591.56/887.28 = 398.78/x
  3. Step 3: Cross multiply
    591.56x = 887.28 × 398.78
  4. Step 4: Simplify right side
    591.56x = 353,829.52
  5. Step 5: Solve for x
    x = 353,829.52/591.56
  6. Step 6: Final answer
    x = 598.13

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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.