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Finding the Fourth Proportional to 560.60, 773.61 and 311.93

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Solution

The fourth proportional to 560.60, 773.61 and 311.93 is: 430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.60 : 773.61 = 311.93 : x
  2. Step 2: Convert to fraction form
    560.60/773.61 = 311.93/x
  3. Step 3: Cross multiply
    560.60x = 773.61 × 311.93
  4. Step 4: Simplify right side
    560.60x = 241,306.74
  5. Step 5: Solve for x
    x = 241,306.74/560.60
  6. Step 6: Final answer
    x = 430.45

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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.