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Finding the Fourth Proportional to 560.56, 839.76 and 343.48

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Solution

The fourth proportional to 560.56, 839.76 and 343.48 is: 514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.56 : 839.76 = 343.48 : x
  2. Step 2: Convert to fraction form
    560.56/839.76 = 343.48/x
  3. Step 3: Cross multiply
    560.56x = 839.76 × 343.48
  4. Step 4: Simplify right side
    560.56x = 288,440.76
  5. Step 5: Solve for x
    x = 288,440.76/560.56
  6. Step 6: Final answer
    x = 514.56

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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.