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Finding the Fourth Proportional to 473.68, 710.59 and 165.71

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Solution

The fourth proportional to 473.68, 710.59 and 165.71 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.68 : 710.59 = 165.71 : x
  2. Step 2: Convert to fraction form
    473.68/710.59 = 165.71/x
  3. Step 3: Cross multiply
    473.68x = 710.59 × 165.71
  4. Step 4: Simplify right side
    473.68x = 117,751.87
  5. Step 5: Solve for x
    x = 117,751.87/473.68
  6. Step 6: Final answer
    x = 248.59

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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.