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Finding the Fourth Proportional to 913.41, 1,261.13 and 582.39

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Solution

The fourth proportional to 913.41, 1,261.13 and 582.39 is: 804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.41 : 1,261.13 = 582.39 : x
  2. Step 2: Convert to fraction form
    913.41/1,261.13 = 582.39/x
  3. Step 3: Cross multiply
    913.41x = 1,261.13 × 582.39
  4. Step 4: Simplify right side
    913.41x = 734,466.59
  5. Step 5: Solve for x
    x = 734,466.59/913.41
  6. Step 6: Final answer
    x = 804.09

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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.