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Finding the Fourth Proportional to 913.92, 1,261.20 and 564.64

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Solution

The fourth proportional to 913.92, 1,261.20 and 564.64 is: 779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.92 : 1,261.20 = 564.64 : x
  2. Step 2: Convert to fraction form
    913.92/1,261.20 = 564.64/x
  3. Step 3: Cross multiply
    913.92x = 1,261.20 × 564.64
  4. Step 4: Simplify right side
    913.92x = 712,123.97
  5. Step 5: Solve for x
    x = 712,123.97/913.92
  6. Step 6: Final answer
    x = 779.20

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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.