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Finding the Fourth Proportional to 718.61, 991.24 and 456.77

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Solution

The fourth proportional to 718.61, 991.24 and 456.77 is: 630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.61 : 991.24 = 456.77 : x
  2. Step 2: Convert to fraction form
    718.61/991.24 = 456.77/x
  3. Step 3: Cross multiply
    718.61x = 991.24 × 456.77
  4. Step 4: Simplify right side
    718.61x = 452,770.03
  5. Step 5: Solve for x
    x = 452,770.03/718.61
  6. Step 6: Final answer
    x = 630.07

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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.