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Finding the Fourth Proportional to 634.54, 875.78 and 410.75

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Solution

The fourth proportional to 634.54, 875.78 and 410.75 is: 566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.54 : 875.78 = 410.75 : x
  2. Step 2: Convert to fraction form
    634.54/875.78 = 410.75/x
  3. Step 3: Cross multiply
    634.54x = 875.78 × 410.75
  4. Step 4: Simplify right side
    634.54x = 359,726.64
  5. Step 5: Solve for x
    x = 359,726.64/634.54
  6. Step 6: Final answer
    x = 566.91

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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.