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Finding the Fourth Proportional to 634.69, 876.30 and 425.14

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Solution

The fourth proportional to 634.69, 876.30 and 425.14 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.69 : 876.30 = 425.14 : x
  2. Step 2: Convert to fraction form
    634.69/876.30 = 425.14/x
  3. Step 3: Cross multiply
    634.69x = 876.30 × 425.14
  4. Step 4: Simplify right side
    634.69x = 372,543.67
  5. Step 5: Solve for x
    x = 372,543.67/634.69
  6. Step 6: Final answer
    x = 586.97

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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.