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Finding the Fourth Proportional to 634.41, 874.95 and 410.39

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Solution

The fourth proportional to 634.41, 874.95 and 410.39 is: 565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.41 : 874.95 = 410.39 : x
  2. Step 2: Convert to fraction form
    634.41/874.95 = 410.39/x
  3. Step 3: Cross multiply
    634.41x = 874.95 × 410.39
  4. Step 4: Simplify right side
    634.41x = 359,066.36
  5. Step 5: Solve for x
    x = 359,066.36/634.41
  6. Step 6: Final answer
    x = 565.98

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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.