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Finding the Fourth Proportional to 1,302.64, 1,788.04 and 1,151.96

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Solution

The fourth proportional to 1,302.64, 1,788.04 and 1,151.96 is: 1,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.64 : 1,788.04 = 1,151.96 : x
  2. Step 2: Convert to fraction form
    1,302.64/1,788.04 = 1,151.96/x
  3. Step 3: Cross multiply
    1,302.64x = 1,788.04 × 1,151.96
  4. Step 4: Simplify right side
    1,302.64x = 2,059,750.56
  5. Step 5: Solve for x
    x = 2,059,750.56/1,302.64
  6. Step 6: Final answer
    x = 1,581.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.