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Finding the Fourth Proportional to 614.80, 848.12 and 531.88

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Solution

The fourth proportional to 614.80, 848.12 and 531.88 is: 733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.80 : 848.12 = 531.88 : x
  2. Step 2: Convert to fraction form
    614.80/848.12 = 531.88/x
  3. Step 3: Cross multiply
    614.80x = 848.12 × 531.88
  4. Step 4: Simplify right side
    614.80x = 451,098.07
  5. Step 5: Solve for x
    x = 451,098.07/614.80
  6. Step 6: Final answer
    x = 733.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.