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Finding the Fourth Proportional to 610.32, 842.58 and 424.38

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Solution

The fourth proportional to 610.32, 842.58 and 424.38 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.32 : 842.58 = 424.38 : x
  2. Step 2: Convert to fraction form
    610.32/842.58 = 424.38/x
  3. Step 3: Cross multiply
    610.32x = 842.58 × 424.38
  4. Step 4: Simplify right side
    610.32x = 357,574.10
  5. Step 5: Solve for x
    x = 357,574.10/610.32
  6. Step 6: Final answer
    x = 585.88

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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.