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Finding the Fourth Proportional to 634.63, 875.22 and 413.50

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Solution

The fourth proportional to 634.63, 875.22 and 413.50 is: 570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.63 : 875.22 = 413.50 : x
  2. Step 2: Convert to fraction form
    634.63/875.22 = 413.50/x
  3. Step 3: Cross multiply
    634.63x = 875.22 × 413.50
  4. Step 4: Simplify right side
    634.63x = 361,903.47
  5. Step 5: Solve for x
    x = 361,903.47/634.63
  6. Step 6: Final answer
    x = 570.26

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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.