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Finding the Fourth Proportional to 473.86, 710.78 and 165.71

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Solution

The fourth proportional to 473.86, 710.78 and 165.71 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.86 : 710.78 = 165.71 : x
  2. Step 2: Convert to fraction form
    473.86/710.78 = 165.71/x
  3. Step 3: Cross multiply
    473.86x = 710.78 × 165.71
  4. Step 4: Simplify right side
    473.86x = 117,778.97
  5. Step 5: Solve for x
    x = 117,778.97/473.86
  6. Step 6: Final answer
    x = 248.55

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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.