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Finding the Fourth Proportional to 689.20, 951.76 and 468.88

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Solution

The fourth proportional to 689.20, 951.76 and 468.88 is: 647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.20 : 951.76 = 468.88 : x
  2. Step 2: Convert to fraction form
    689.20/951.76 = 468.88/x
  3. Step 3: Cross multiply
    689.20x = 951.76 × 468.88
  4. Step 4: Simplify right side
    689.20x = 446,261.23
  5. Step 5: Solve for x
    x = 446,261.23/689.20
  6. Step 6: Final answer
    x = 647.51

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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.