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Finding the Fourth Proportional to 473.40, 708.89 and 419.13

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Solution

The fourth proportional to 473.40, 708.89 and 419.13 is: 627.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.40 : 708.89 = 419.13 : x
  2. Step 2: Convert to fraction form
    473.40/708.89 = 419.13/x
  3. Step 3: Cross multiply
    473.40x = 708.89 × 419.13
  4. Step 4: Simplify right side
    473.40x = 297,114.97
  5. Step 5: Solve for x
    x = 297,114.97/473.40
  6. Step 6: Final answer
    x = 627.62

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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.