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Finding the Fourth Proportional to 634.47, 876.05 and 413.55

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Solution

The fourth proportional to 634.47, 876.05 and 413.55 is: 571.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.47 : 876.05 = 413.55 : x
  2. Step 2: Convert to fraction form
    634.47/876.05 = 413.55/x
  3. Step 3: Cross multiply
    634.47x = 876.05 × 413.55
  4. Step 4: Simplify right side
    634.47x = 362,288.41
  5. Step 5: Solve for x
    x = 362,288.41/634.47
  6. Step 6: Final answer
    x = 571.01

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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.