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Finding the Fourth Proportional to 718.12, 1,077.51 and 458.41

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Solution

The fourth proportional to 718.12, 1,077.51 and 458.41 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.12 : 1,077.51 = 458.41 : x
  2. Step 2: Convert to fraction form
    718.12/1,077.51 = 458.41/x
  3. Step 3: Cross multiply
    718.12x = 1,077.51 × 458.41
  4. Step 4: Simplify right side
    718.12x = 493,935.97
  5. Step 5: Solve for x
    x = 493,935.97/718.12
  6. Step 6: Final answer
    x = 687.82

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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.