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Finding the Fourth Proportional to 560.40, 769.76 and 461.94

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Solution

The fourth proportional to 560.40, 769.76 and 461.94 is: 634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.40 : 769.76 = 461.94 : x
  2. Step 2: Convert to fraction form
    560.40/769.76 = 461.94/x
  3. Step 3: Cross multiply
    560.40x = 769.76 × 461.94
  4. Step 4: Simplify right side
    560.40x = 355,580.62
  5. Step 5: Solve for x
    x = 355,580.62/560.40
  6. Step 6: Final answer
    x = 634.51

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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.