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Finding the Fourth Proportional to 929.97, 1,395.09 and 280.71

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Solution

The fourth proportional to 929.97, 1,395.09 and 280.71 is: 421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.97 : 1,395.09 = 280.71 : x
  2. Step 2: Convert to fraction form
    929.97/1,395.09 = 280.71/x
  3. Step 3: Cross multiply
    929.97x = 1,395.09 × 280.71
  4. Step 4: Simplify right side
    929.97x = 391,615.71
  5. Step 5: Solve for x
    x = 391,615.71/929.97
  6. Step 6: Final answer
    x = 421.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.