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Finding the Fourth Proportional to 610.56, 842.36 and 424

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Solution

The fourth proportional to 610.56, 842.36 and 424 is: 584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 842.36 = 424 : x
  2. Step 2: Convert to fraction form
    610.56/842.36 = 424/x
  3. Step 3: Cross multiply
    610.56x = 842.36 × 424
  4. Step 4: Simplify right side
    610.56x = 357,160.64
  5. Step 5: Solve for x
    x = 357,160.64/610.56
  6. Step 6: Final answer
    x = 584.97

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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.