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Finding the Fourth Proportional to 1,052.64, 1,577.52 and 762.72

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Solution

The fourth proportional to 1,052.64, 1,577.52 and 762.72 is: 1,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.64 : 1,577.52 = 762.72 : x
  2. Step 2: Convert to fraction form
    1,052.64/1,577.52 = 762.72/x
  3. Step 3: Cross multiply
    1,052.64x = 1,577.52 × 762.72
  4. Step 4: Simplify right side
    1,052.64x = 1,203,206.05
  5. Step 5: Solve for x
    x = 1,203,206.05/1,052.64
  6. Step 6: Final answer
    x = 1,143.04

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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.