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Finding the Fourth Proportional to 560.42, 773.38 and 311.77

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Solution

The fourth proportional to 560.42, 773.38 and 311.77 is: 430.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.42 : 773.38 = 311.77 : x
  2. Step 2: Convert to fraction form
    560.42/773.38 = 311.77/x
  3. Step 3: Cross multiply
    560.42x = 773.38 × 311.77
  4. Step 4: Simplify right side
    560.42x = 241,116.68
  5. Step 5: Solve for x
    x = 241,116.68/560.42
  6. Step 6: Final answer
    x = 430.24

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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.