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Finding the Fourth Proportional to 473.49, 710.18 and 126.85

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Solution

The fourth proportional to 473.49, 710.18 and 126.85 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.49 : 710.18 = 126.85 : x
  2. Step 2: Convert to fraction form
    473.49/710.18 = 126.85/x
  3. Step 3: Cross multiply
    473.49x = 710.18 × 126.85
  4. Step 4: Simplify right side
    473.49x = 90,086.33
  5. Step 5: Solve for x
    x = 90,086.33/473.49
  6. Step 6: Final answer
    x = 190.26

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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.