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Finding the Fourth Proportional to 719.38, 992.46 and 424.18

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Solution

The fourth proportional to 719.38, 992.46 and 424.18 is: 585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.38 : 992.46 = 424.18 : x
  2. Step 2: Convert to fraction form
    719.38/992.46 = 424.18/x
  3. Step 3: Cross multiply
    719.38x = 992.46 × 424.18
  4. Step 4: Simplify right side
    719.38x = 420,981.68
  5. Step 5: Solve for x
    x = 420,981.68/719.38
  6. Step 6: Final answer
    x = 585.20

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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.