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Finding the Fourth Proportional to 559.13, 839.27 and 413.04

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Solution

The fourth proportional to 559.13, 839.27 and 413.04 is: 619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.13 : 839.27 = 413.04 : x
  2. Step 2: Convert to fraction form
    559.13/839.27 = 413.04/x
  3. Step 3: Cross multiply
    559.13x = 839.27 × 413.04
  4. Step 4: Simplify right side
    559.13x = 346,652.08
  5. Step 5: Solve for x
    x = 346,652.08/559.13
  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.