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Finding the Fourth Proportional to 913.20, 1,261.56 and 844.08

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Solution

The fourth proportional to 913.20, 1,261.56 and 844.08 is: 1,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.20 : 1,261.56 = 844.08 : x
  2. Step 2: Convert to fraction form
    913.20/1,261.56 = 844.08/x
  3. Step 3: Cross multiply
    913.20x = 1,261.56 × 844.08
  4. Step 4: Simplify right side
    913.20x = 1,064,857.56
  5. Step 5: Solve for x
    x = 1,064,857.56/913.20
  6. Step 6: Final answer
    x = 1,166.07

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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.