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Finding the Fourth Proportional to 560.05, 839.12 and 343.17

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Solution

The fourth proportional to 560.05, 839.12 and 343.17 is: 514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.05 : 839.12 = 343.17 : x
  2. Step 2: Convert to fraction form
    560.05/839.12 = 343.17/x
  3. Step 3: Cross multiply
    560.05x = 839.12 × 343.17
  4. Step 4: Simplify right side
    560.05x = 287,960.81
  5. Step 5: Solve for x
    x = 287,960.81/560.05
  6. Step 6: Final answer
    x = 514.17

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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.