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Finding the Fourth Proportional to 411.64, 614.51 and 381.64

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Solution

The fourth proportional to 411.64, 614.51 and 381.64 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 614.51 = 381.64 : x
  2. Step 2: Convert to fraction form
    411.64/614.51 = 381.64/x
  3. Step 3: Cross multiply
    411.64x = 614.51 × 381.64
  4. Step 4: Simplify right side
    411.64x = 234,521.60
  5. Step 5: Solve for x
    x = 234,521.60/411.64
  6. Step 6: Final answer
    x = 569.72

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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.