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Finding the Fourth Proportional to 1,129.97, 1,695.36 and 821.30

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Solution

The fourth proportional to 1,129.97, 1,695.36 and 821.30 is: 1,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.97 : 1,695.36 = 821.30 : x
  2. Step 2: Convert to fraction form
    1,129.97/1,695.36 = 821.30/x
  3. Step 3: Cross multiply
    1,129.97x = 1,695.36 × 821.30
  4. Step 4: Simplify right side
    1,129.97x = 1,392,399.17
  5. Step 5: Solve for x
    x = 1,392,399.17/1,129.97
  6. Step 6: Final answer
    x = 1,232.24

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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.