Home / 1,109.12-1,670.30-966.56

Finding the Fourth Proportional to 1,109.12, 1,670.30 and 966.56

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Solution

The fourth proportional to 1,109.12, 1,670.30 and 966.56 is: 1,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.12 : 1,670.30 = 966.56 : x
  2. Step 2: Convert to fraction form
    1,109.12/1,670.30 = 966.56/x
  3. Step 3: Cross multiply
    1,109.12x = 1,670.30 × 966.56
  4. Step 4: Simplify right side
    1,109.12x = 1,614,445.17
  5. Step 5: Solve for x
    x = 1,614,445.17/1,109.12
  6. Step 6: Final answer
    x = 1,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.