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Finding the Fourth Proportional to 1,052.24, 1,577.60 and 641.28

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Solution

The fourth proportional to 1,052.24, 1,577.60 and 641.28 is: 961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.24 : 1,577.60 = 641.28 : x
  2. Step 2: Convert to fraction form
    1,052.24/1,577.60 = 641.28/x
  3. Step 3: Cross multiply
    1,052.24x = 1,577.60 × 641.28
  4. Step 4: Simplify right side
    1,052.24x = 1,011,683.33
  5. Step 5: Solve for x
    x = 1,011,683.33/1,052.24
  6. Step 6: Final answer
    x = 961.46

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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.