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Finding the Fourth Proportional to 410.86, 614.67 and 394.66

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Solution

The fourth proportional to 410.86, 614.67 and 394.66 is: 590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.86 : 614.67 = 394.66 : x
  2. Step 2: Convert to fraction form
    410.86/614.67 = 394.66/x
  3. Step 3: Cross multiply
    410.86x = 614.67 × 394.66
  4. Step 4: Simplify right side
    410.86x = 242,585.66
  5. Step 5: Solve for x
    x = 242,585.66/410.86
  6. Step 6: Final answer
    x = 590.43

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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.