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Finding the Fourth Proportional to 816.39, 1,225.29 and 354.54

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Solution

The fourth proportional to 816.39, 1,225.29 and 354.54 is: 532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.39 : 1,225.29 = 354.54 : x
  2. Step 2: Convert to fraction form
    816.39/1,225.29 = 354.54/x
  3. Step 3: Cross multiply
    816.39x = 1,225.29 × 354.54
  4. Step 4: Simplify right side
    816.39x = 434,413.80
  5. Step 5: Solve for x
    x = 434,413.80/816.39
  6. Step 6: Final answer
    x = 532.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.