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Finding the Fourth Proportional to 584.64, 877.44 and 413.76

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Solution

The fourth proportional to 584.64, 877.44 and 413.76 is: 620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 877.44 = 413.76 : x
  2. Step 2: Convert to fraction form
    584.64/877.44 = 413.76/x
  3. Step 3: Cross multiply
    584.64x = 877.44 × 413.76
  4. Step 4: Simplify right side
    584.64x = 363,049.57
  5. Step 5: Solve for x
    x = 363,049.57/584.64
  6. Step 6: Final answer
    x = 620.98

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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.