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Finding the Fourth Proportional to 913.80, 1,261.58 and 724.56

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Solution

The fourth proportional to 913.80, 1,261.58 and 724.56 is: 1,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.80 : 1,261.58 = 724.56 : x
  2. Step 2: Convert to fraction form
    913.80/1,261.58 = 724.56/x
  3. Step 3: Cross multiply
    913.80x = 1,261.58 × 724.56
  4. Step 4: Simplify right side
    913.80x = 914,090.40
  5. Step 5: Solve for x
    x = 914,090.40/913.80
  6. Step 6: Final answer
    x = 1,000.32

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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.