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Finding the Fourth Proportional to 913.78, 1,261.20 and 582.12

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Solution

The fourth proportional to 913.78, 1,261.20 and 582.12 is: 803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.78 : 1,261.20 = 582.12 : x
  2. Step 2: Convert to fraction form
    913.78/1,261.20 = 582.12/x
  3. Step 3: Cross multiply
    913.78x = 1,261.20 × 582.12
  4. Step 4: Simplify right side
    913.78x = 734,171.93
  5. Step 5: Solve for x
    x = 734,171.93/913.78
  6. Step 6: Final answer
    x = 803.44

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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.