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Finding the Fourth Proportional to 630.64, 945.88 and 468.56

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Solution

The fourth proportional to 630.64, 945.88 and 468.56 is: 702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.64 : 945.88 = 468.56 : x
  2. Step 2: Convert to fraction form
    630.64/945.88 = 468.56/x
  3. Step 3: Cross multiply
    630.64x = 945.88 × 468.56
  4. Step 4: Simplify right side
    630.64x = 443,201.53
  5. Step 5: Solve for x
    x = 443,201.53/630.64
  6. Step 6: Final answer
    x = 702.78

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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.