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Finding the Fourth Proportional to 560.64, 773.69 and 311.95

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Solution

The fourth proportional to 560.64, 773.69 and 311.95 is: 430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.64 : 773.69 = 311.95 : x
  2. Step 2: Convert to fraction form
    560.64/773.69 = 311.95/x
  3. Step 3: Cross multiply
    560.64x = 773.69 × 311.95
  4. Step 4: Simplify right side
    560.64x = 241,352.60
  5. Step 5: Solve for x
    x = 241,352.60/560.64
  6. Step 6: Final answer
    x = 430.49

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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.