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Finding the Fourth Proportional to 2,170.73, 3,256.07 and 527.28

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Solution

The fourth proportional to 2,170.73, 3,256.07 and 527.28 is: 790.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.73 : 3,256.07 = 527.28 : x
  2. Step 2: Convert to fraction form
    2,170.73/3,256.07 = 527.28/x
  3. Step 3: Cross multiply
    2,170.73x = 3,256.07 × 527.28
  4. Step 4: Simplify right side
    2,170.73x = 1,716,857.95
  5. Step 5: Solve for x
    x = 1,716,857.95/2,170.73
  6. Step 6: Final answer
    x = 790.91

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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.