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Finding the Fourth Proportional to 634.95, 876.06 and 425.43

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Solution

The fourth proportional to 634.95, 876.06 and 425.43 is: 586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.95 : 876.06 = 425.43 : x
  2. Step 2: Convert to fraction form
    634.95/876.06 = 425.43/x
  3. Step 3: Cross multiply
    634.95x = 876.06 × 425.43
  4. Step 4: Simplify right side
    634.95x = 372,702.21
  5. Step 5: Solve for x
    x = 372,702.21/634.95
  6. Step 6: Final answer
    x = 586.98

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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.