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Finding the Fourth Proportional to 610.04, 842.56 and 452.40

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Solution

The fourth proportional to 610.04, 842.56 and 452.40 is: 624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.04 : 842.56 = 452.40 : x
  2. Step 2: Convert to fraction form
    610.04/842.56 = 452.40/x
  3. Step 3: Cross multiply
    610.04x = 842.56 × 452.40
  4. Step 4: Simplify right side
    610.04x = 381,174.14
  5. Step 5: Solve for x
    x = 381,174.14/610.04
  6. Step 6: Final answer
    x = 624.83

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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.