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Finding the Fourth Proportional to 417.20, 624.57 and 309.47

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Solution

The fourth proportional to 417.20, 624.57 and 309.47 is: 463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.20 : 624.57 = 309.47 : x
  2. Step 2: Convert to fraction form
    417.20/624.57 = 309.47/x
  3. Step 3: Cross multiply
    417.20x = 624.57 × 309.47
  4. Step 4: Simplify right side
    417.20x = 193,285.68
  5. Step 5: Solve for x
    x = 193,285.68/417.20
  6. Step 6: Final answer
    x = 463.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.