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Finding the Fourth Proportional to 621.68, 859.01 and 456.44

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Solution

The fourth proportional to 621.68, 859.01 and 456.44 is: 630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.68 : 859.01 = 456.44 : x
  2. Step 2: Convert to fraction form
    621.68/859.01 = 456.44/x
  3. Step 3: Cross multiply
    621.68x = 859.01 × 456.44
  4. Step 4: Simplify right side
    621.68x = 392,079.95
  5. Step 5: Solve for x
    x = 392,079.95/621.68
  6. Step 6: Final answer
    x = 630.68

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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.