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Finding the Fourth Proportional to 560.19, 773.02 and 311.49

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Solution

The fourth proportional to 560.19, 773.02 and 311.49 is: 429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.19 : 773.02 = 311.49 : x
  2. Step 2: Convert to fraction form
    560.19/773.02 = 311.49/x
  3. Step 3: Cross multiply
    560.19x = 773.02 × 311.49
  4. Step 4: Simplify right side
    560.19x = 240,785.29
  5. Step 5: Solve for x
    x = 240,785.29/560.19
  6. Step 6: Final answer
    x = 429.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.