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Finding the Fourth Proportional to 719.29, 990.39 and 542.50

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Solution

The fourth proportional to 719.29, 990.39 and 542.50 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.29 : 990.39 = 542.50 : x
  2. Step 2: Convert to fraction form
    719.29/990.39 = 542.50/x
  3. Step 3: Cross multiply
    719.29x = 990.39 × 542.50
  4. Step 4: Simplify right side
    719.29x = 537,286.58
  5. Step 5: Solve for x
    x = 537,286.58/719.29
  6. Step 6: Final answer
    x = 746.97

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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.