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Finding the Fourth Proportional to 634.56, 876.35 and 425.68

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Solution

The fourth proportional to 634.56, 876.35 and 425.68 is: 587.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 876.35 = 425.68 : x
  2. Step 2: Convert to fraction form
    634.56/876.35 = 425.68/x
  3. Step 3: Cross multiply
    634.56x = 876.35 × 425.68
  4. Step 4: Simplify right side
    634.56x = 373,044.67
  5. Step 5: Solve for x
    x = 373,044.67/634.56
  6. Step 6: Final answer
    x = 587.88

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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.