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Finding the Fourth Proportional to 913.36, 1,261.47 and 728.86

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Solution

The fourth proportional to 913.36, 1,261.47 and 728.86 is: 1,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.36 : 1,261.47 = 728.86 : x
  2. Step 2: Convert to fraction form
    913.36/1,261.47 = 728.86/x
  3. Step 3: Cross multiply
    913.36x = 1,261.47 × 728.86
  4. Step 4: Simplify right side
    913.36x = 919,435.02
  5. Step 5: Solve for x
    x = 919,435.02/913.36
  6. Step 6: Final answer
    x = 1,006.65

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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.