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Finding the Fourth Proportional to 719.39, 992.68 and 424.55

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Solution

The fourth proportional to 719.39, 992.68 and 424.55 is: 585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.39 : 992.68 = 424.55 : x
  2. Step 2: Convert to fraction form
    719.39/992.68 = 424.55/x
  3. Step 3: Cross multiply
    719.39x = 992.68 × 424.55
  4. Step 4: Simplify right side
    719.39x = 421,443.71
  5. Step 5: Solve for x
    x = 421,443.71/719.39
  6. Step 6: Final answer
    x = 585.83

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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.