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Finding the Fourth Proportional to 634.99, 876.37 and 414.58

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Solution

The fourth proportional to 634.99, 876.37 and 414.58 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.99 : 876.37 = 414.58 : x
  2. Step 2: Convert to fraction form
    634.99/876.37 = 414.58/x
  3. Step 3: Cross multiply
    634.99x = 876.37 × 414.58
  4. Step 4: Simplify right side
    634.99x = 363,325.47
  5. Step 5: Solve for x
    x = 363,325.47/634.99
  6. Step 6: Final answer
    x = 572.18

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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.