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Finding the Fourth Proportional to 634.41, 875.15 and 424.22

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Solution

The fourth proportional to 634.41, 875.15 and 424.22 is: 585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.41 : 875.15 = 424.22 : x
  2. Step 2: Convert to fraction form
    634.41/875.15 = 424.22/x
  3. Step 3: Cross multiply
    634.41x = 875.15 × 424.22
  4. Step 4: Simplify right side
    634.41x = 371,249.64
  5. Step 5: Solve for x
    x = 371,249.64/634.41
  6. Step 6: Final answer
    x = 585.19

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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.