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Finding the Fourth Proportional to 610.40, 842.12 and 423.68

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Solution

The fourth proportional to 610.40, 842.12 and 423.68 is: 584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.40 : 842.12 = 423.68 : x
  2. Step 2: Convert to fraction form
    610.40/842.12 = 423.68/x
  3. Step 3: Cross multiply
    610.40x = 842.12 × 423.68
  4. Step 4: Simplify right side
    610.40x = 356,789.40
  5. Step 5: Solve for x
    x = 356,789.40/610.40
  6. Step 6: Final answer
    x = 584.52

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