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Finding the Fourth Proportional to 929.82, 1,395.19 and 409.76

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Solution

The fourth proportional to 929.82, 1,395.19 and 409.76 is: 614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.82 : 1,395.19 = 409.76 : x
  2. Step 2: Convert to fraction form
    929.82/1,395.19 = 409.76/x
  3. Step 3: Cross multiply
    929.82x = 1,395.19 × 409.76
  4. Step 4: Simplify right side
    929.82x = 571,685.05
  5. Step 5: Solve for x
    x = 571,685.05/929.82
  6. Step 6: Final answer
    x = 614.83

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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.