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Finding the Fourth Proportional to 610.46, 914.76 and 455.66

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Solution

The fourth proportional to 610.46, 914.76 and 455.66 is: 682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.46 : 914.76 = 455.66 : x
  2. Step 2: Convert to fraction form
    610.46/914.76 = 455.66/x
  3. Step 3: Cross multiply
    610.46x = 914.76 × 455.66
  4. Step 4: Simplify right side
    610.46x = 416,819.54
  5. Step 5: Solve for x
    x = 416,819.54/610.46
  6. Step 6: Final answer
    x = 682.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.