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Finding the Fourth Proportional to 1,132.44, 1,697.01 and 644.46

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Solution

The fourth proportional to 1,132.44, 1,697.01 and 644.46 is: 965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.44 : 1,697.01 = 644.46 : x
  2. Step 2: Convert to fraction form
    1,132.44/1,697.01 = 644.46/x
  3. Step 3: Cross multiply
    1,132.44x = 1,697.01 × 644.46
  4. Step 4: Simplify right side
    1,132.44x = 1,093,655.06
  5. Step 5: Solve for x
    x = 1,093,655.06/1,132.44
  6. Step 6: Final answer
    x = 965.75

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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.