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Finding the Fourth Proportional to 557.60, 834.76 and 413.96

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Solution

The fourth proportional to 557.60, 834.76 and 413.96 is: 619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 834.76 = 413.96 : x
  2. Step 2: Convert to fraction form
    557.60/834.76 = 413.96/x
  3. Step 3: Cross multiply
    557.60x = 834.76 × 413.96
  4. Step 4: Simplify right side
    557.60x = 345,557.25
  5. Step 5: Solve for x
    x = 345,557.25/557.60
  6. Step 6: Final answer
    x = 619.72

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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.