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Finding the Fourth Proportional to 661.20, 912.42 and 513.96

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Solution

The fourth proportional to 661.20, 912.42 and 513.96 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.20 : 912.42 = 513.96 : x
  2. Step 2: Convert to fraction form
    661.20/912.42 = 513.96/x
  3. Step 3: Cross multiply
    661.20x = 912.42 × 513.96
  4. Step 4: Simplify right side
    661.20x = 468,947.38
  5. Step 5: Solve for x
    x = 468,947.38/661.20
  6. Step 6: Final answer
    x = 709.24

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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.