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Finding the Fourth Proportional to 610.66, 843.05 and 424.31

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Solution

The fourth proportional to 610.66, 843.05 and 424.31 is: 585.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.66 : 843.05 = 424.31 : x
  2. Step 2: Convert to fraction form
    610.66/843.05 = 424.31/x
  3. Step 3: Cross multiply
    610.66x = 843.05 × 424.31
  4. Step 4: Simplify right side
    610.66x = 357,712.42
  5. Step 5: Solve for x
    x = 357,712.42/610.66
  6. Step 6: Final answer
    x = 585.78

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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.