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Finding the Fourth Proportional to 560.46, 773.48 and 311.78

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Solution

The fourth proportional to 560.46, 773.48 and 311.78 is: 430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.46 : 773.48 = 311.78 : x
  2. Step 2: Convert to fraction form
    560.46/773.48 = 311.78/x
  3. Step 3: Cross multiply
    560.46x = 773.48 × 311.78
  4. Step 4: Simplify right side
    560.46x = 241,155.59
  5. Step 5: Solve for x
    x = 241,155.59/560.46
  6. Step 6: Final answer
    x = 430.28

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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.