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Finding the Fourth Proportional to 486.76, 675.17 and 469.25

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Solution

The fourth proportional to 486.76, 675.17 and 469.25 is: 650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.76 : 675.17 = 469.25 : x
  2. Step 2: Convert to fraction form
    486.76/675.17 = 469.25/x
  3. Step 3: Cross multiply
    486.76x = 675.17 × 469.25
  4. Step 4: Simplify right side
    486.76x = 316,822.42
  5. Step 5: Solve for x
    x = 316,822.42/486.76
  6. Step 6: Final answer
    x = 650.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.