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Finding the Fourth Proportional to 484.74, 724.89 and 391.74

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Solution

The fourth proportional to 484.74, 724.89 and 391.74 is: 585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.74 : 724.89 = 391.74 : x
  2. Step 2: Convert to fraction form
    484.74/724.89 = 391.74/x
  3. Step 3: Cross multiply
    484.74x = 724.89 × 391.74
  4. Step 4: Simplify right side
    484.74x = 283,968.41
  5. Step 5: Solve for x
    x = 283,968.41/484.74
  6. Step 6: Final answer
    x = 585.82

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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.