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Finding the Fourth Proportional to 634.52, 875.38 and 421.93

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Solution

The fourth proportional to 634.52, 875.38 and 421.93 is: 582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.52 : 875.38 = 421.93 : x
  2. Step 2: Convert to fraction form
    634.52/875.38 = 421.93/x
  3. Step 3: Cross multiply
    634.52x = 875.38 × 421.93
  4. Step 4: Simplify right side
    634.52x = 369,350.22
  5. Step 5: Solve for x
    x = 369,350.22/634.52
  6. Step 6: Final answer
    x = 582.10

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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.