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Finding the Fourth Proportional to 719.97, 991.47 and 498.53

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Solution

The fourth proportional to 719.97, 991.47 and 498.53 is: 686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.97 : 991.47 = 498.53 : x
  2. Step 2: Convert to fraction form
    719.97/991.47 = 498.53/x
  3. Step 3: Cross multiply
    719.97x = 991.47 × 498.53
  4. Step 4: Simplify right side
    719.97x = 494,277.54
  5. Step 5: Solve for x
    x = 494,277.54/719.97
  6. Step 6: Final answer
    x = 686.53

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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.