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Finding the Fourth Proportional to 411.52, 614.36 and 375.04

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Solution

The fourth proportional to 411.52, 614.36 and 375.04 is: 559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.52 : 614.36 = 375.04 : x
  2. Step 2: Convert to fraction form
    411.52/614.36 = 375.04/x
  3. Step 3: Cross multiply
    411.52x = 614.36 × 375.04
  4. Step 4: Simplify right side
    411.52x = 230,409.57
  5. Step 5: Solve for x
    x = 230,409.57/411.52
  6. Step 6: Final answer
    x = 559.90

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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.