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Finding the Fourth Proportional to 473.38, 710.25 and 419.74

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Solution

The fourth proportional to 473.38, 710.25 and 419.74 is: 629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.38 : 710.25 = 419.74 : x
  2. Step 2: Convert to fraction form
    473.38/710.25 = 419.74/x
  3. Step 3: Cross multiply
    473.38x = 710.25 × 419.74
  4. Step 4: Simplify right side
    473.38x = 298,120.34
  5. Step 5: Solve for x
    x = 298,120.34/473.38
  6. Step 6: Final answer
    x = 629.77

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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.