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Finding the Fourth Proportional to 593.28, 819.31 and 489.40

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Solution

The fourth proportional to 593.28, 819.31 and 489.40 is: 675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.28 : 819.31 = 489.40 : x
  2. Step 2: Convert to fraction form
    593.28/819.31 = 489.40/x
  3. Step 3: Cross multiply
    593.28x = 819.31 × 489.40
  4. Step 4: Simplify right side
    593.28x = 400,970.31
  5. Step 5: Solve for x
    x = 400,970.31/593.28
  6. Step 6: Final answer
    x = 675.85

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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.