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Finding the Fourth Proportional to 610.84, 916.62 and 456.88

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Solution

The fourth proportional to 610.84, 916.62 and 456.88 is: 685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 916.62 = 456.88 : x
  2. Step 2: Convert to fraction form
    610.84/916.62 = 456.88/x
  3. Step 3: Cross multiply
    610.84x = 916.62 × 456.88
  4. Step 4: Simplify right side
    610.84x = 418,785.35
  5. Step 5: Solve for x
    x = 418,785.35/610.84
  6. Step 6: Final answer
    x = 685.59

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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.