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Finding the Fourth Proportional to 559.55, 839.01 and 343.28

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Solution

The fourth proportional to 559.55, 839.01 and 343.28 is: 514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.55 : 839.01 = 343.28 : x
  2. Step 2: Convert to fraction form
    559.55/839.01 = 343.28/x
  3. Step 3: Cross multiply
    559.55x = 839.01 × 343.28
  4. Step 4: Simplify right side
    559.55x = 288,011.16
  5. Step 5: Solve for x
    x = 288,011.16/559.55
  6. Step 6: Final answer
    x = 514.72

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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.