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Finding the Fourth Proportional to 662.18, 913.78 and 382.40

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Solution

The fourth proportional to 662.18, 913.78 and 382.40 is: 527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.18 : 913.78 = 382.40 : x
  2. Step 2: Convert to fraction form
    662.18/913.78 = 382.40/x
  3. Step 3: Cross multiply
    662.18x = 913.78 × 382.40
  4. Step 4: Simplify right side
    662.18x = 349,429.47
  5. Step 5: Solve for x
    x = 349,429.47/662.18
  6. Step 6: Final answer
    x = 527.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.