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Finding the Fourth Proportional to 1,152.96, 1,727.14 and 689.43

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Solution

The fourth proportional to 1,152.96, 1,727.14 and 689.43 is: 1,032.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.96 : 1,727.14 = 689.43 : x
  2. Step 2: Convert to fraction form
    1,152.96/1,727.14 = 689.43/x
  3. Step 3: Cross multiply
    1,152.96x = 1,727.14 × 689.43
  4. Step 4: Simplify right side
    1,152.96x = 1,190,742.13
  5. Step 5: Solve for x
    x = 1,190,742.13/1,152.96
  6. Step 6: Final answer
    x = 1,032.77

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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.