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Finding the Fourth Proportional to 488.30, 731.39 and 314.35

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Solution

The fourth proportional to 488.30, 731.39 and 314.35 is: 470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.30 : 731.39 = 314.35 : x
  2. Step 2: Convert to fraction form
    488.30/731.39 = 314.35/x
  3. Step 3: Cross multiply
    488.30x = 731.39 × 314.35
  4. Step 4: Simplify right side
    488.30x = 229,909.05
  5. Step 5: Solve for x
    x = 229,909.05/488.30
  6. Step 6: Final answer
    x = 470.84

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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.