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Finding the Fourth Proportional to 411.66, 614.18 and 392.07

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Solution

The fourth proportional to 411.66, 614.18 and 392.07 is: 584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.66 : 614.18 = 392.07 : x
  2. Step 2: Convert to fraction form
    411.66/614.18 = 392.07/x
  3. Step 3: Cross multiply
    411.66x = 614.18 × 392.07
  4. Step 4: Simplify right side
    411.66x = 240,799.65
  5. Step 5: Solve for x
    x = 240,799.65/411.66
  6. Step 6: Final answer
    x = 584.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.