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Finding the Fourth Proportional to 661.28, 913.92 and 513.76

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Solution

The fourth proportional to 661.28, 913.92 and 513.76 is: 710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.28 : 913.92 = 513.76 : x
  2. Step 2: Convert to fraction form
    661.28/913.92 = 513.76/x
  3. Step 3: Cross multiply
    661.28x = 913.92 × 513.76
  4. Step 4: Simplify right side
    661.28x = 469,535.54
  5. Step 5: Solve for x
    x = 469,535.54/661.28
  6. Step 6: Final answer
    x = 710.04

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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.