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Finding the Fourth Proportional to 1,063.32, 1,593.78 and 413.64

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Solution

The fourth proportional to 1,063.32, 1,593.78 and 413.64 is: 619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.32 : 1,593.78 = 413.64 : x
  2. Step 2: Convert to fraction form
    1,063.32/1,593.78 = 413.64/x
  3. Step 3: Cross multiply
    1,063.32x = 1,593.78 × 413.64
  4. Step 4: Simplify right side
    1,063.32x = 659,251.16
  5. Step 5: Solve for x
    x = 659,251.16/1,063.32
  6. Step 6: Final answer
    x = 619.99

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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.