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Finding the Fourth Proportional to 634.60, 876.18 and 468.82

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Solution

The fourth proportional to 634.60, 876.18 and 468.82 is: 647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.60 : 876.18 = 468.82 : x
  2. Step 2: Convert to fraction form
    634.60/876.18 = 468.82/x
  3. Step 3: Cross multiply
    634.60x = 876.18 × 468.82
  4. Step 4: Simplify right side
    634.60x = 410,770.71
  5. Step 5: Solve for x
    x = 410,770.71/634.60
  6. Step 6: Final answer
    x = 647.29

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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.