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Finding the Fourth Proportional to 605.92, 831.05 and 560.56

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Solution

The fourth proportional to 605.92, 831.05 and 560.56 is: 768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.92 : 831.05 = 560.56 : x
  2. Step 2: Convert to fraction form
    605.92/831.05 = 560.56/x
  3. Step 3: Cross multiply
    605.92x = 831.05 × 560.56
  4. Step 4: Simplify right side
    605.92x = 465,853.39
  5. Step 5: Solve for x
    x = 465,853.39/605.92
  6. Step 6: Final answer
    x = 768.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.