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Finding the Fourth Proportional to 614.66, 919.92 and 382.74

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Solution

The fourth proportional to 614.66, 919.92 and 382.74 is: 572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.66 : 919.92 = 382.74 : x
  2. Step 2: Convert to fraction form
    614.66/919.92 = 382.74/x
  3. Step 3: Cross multiply
    614.66x = 919.92 × 382.74
  4. Step 4: Simplify right side
    614.66x = 352,088.17
  5. Step 5: Solve for x
    x = 352,088.17/614.66
  6. Step 6: Final answer
    x = 572.82

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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.