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Finding the Fourth Proportional to 410.14, 614.34 and 323.05

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Solution

The fourth proportional to 410.14, 614.34 and 323.05 is: 483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 614.34 = 323.05 : x
  2. Step 2: Convert to fraction form
    410.14/614.34 = 323.05/x
  3. Step 3: Cross multiply
    410.14x = 614.34 × 323.05
  4. Step 4: Simplify right side
    410.14x = 198,459.47
  5. Step 5: Solve for x
    x = 198,459.47/410.14
  6. Step 6: Final answer
    x = 483.89

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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.