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Finding the Fourth Proportional to 535.32, 803.04 and 413.76

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Solution

The fourth proportional to 535.32, 803.04 and 413.76 is: 620.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.32 : 803.04 = 413.76 : x
  2. Step 2: Convert to fraction form
    535.32/803.04 = 413.76/x
  3. Step 3: Cross multiply
    535.32x = 803.04 × 413.76
  4. Step 4: Simplify right side
    535.32x = 332,265.83
  5. Step 5: Solve for x
    x = 332,265.83/535.32
  6. Step 6: Final answer
    x = 620.69

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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.