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Finding the Fourth Proportional to 718.66, 991.20 and 497.13

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Solution

The fourth proportional to 718.66, 991.20 and 497.13 is: 685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.66 : 991.20 = 497.13 : x
  2. Step 2: Convert to fraction form
    718.66/991.20 = 497.13/x
  3. Step 3: Cross multiply
    718.66x = 991.20 × 497.13
  4. Step 4: Simplify right side
    718.66x = 492,755.26
  5. Step 5: Solve for x
    x = 492,755.26/718.66
  6. Step 6: Final answer
    x = 685.66

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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.