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Finding the Fourth Proportional to 901.44, 1,352.16 and 696.31

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Solution

The fourth proportional to 901.44, 1,352.16 and 696.31 is: 1,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.44 : 1,352.16 = 696.31 : x
  2. Step 2: Convert to fraction form
    901.44/1,352.16 = 696.31/x
  3. Step 3: Cross multiply
    901.44x = 1,352.16 × 696.31
  4. Step 4: Simplify right side
    901.44x = 941,522.53
  5. Step 5: Solve for x
    x = 941,522.53/901.44
  6. Step 6: Final answer
    x = 1,044.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.