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Finding the Fourth Proportional to 901.44, 1,244.60 and 565.48

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Solution

The fourth proportional to 901.44, 1,244.60 and 565.48 is: 780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.44 : 1,244.60 = 565.48 : x
  2. Step 2: Convert to fraction form
    901.44/1,244.60 = 565.48/x
  3. Step 3: Cross multiply
    901.44x = 1,244.60 × 565.48
  4. Step 4: Simplify right side
    901.44x = 703,797.26
  5. Step 5: Solve for x
    x = 703,797.26/901.44
  6. Step 6: Final answer
    x = 780.75

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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.