Home / 1,689.42-2,330.87-1,165.76

Finding the Fourth Proportional to 1,689.42, 2,330.87 and 1,165.76

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Solution

The fourth proportional to 1,689.42, 2,330.87 and 1,165.76 is: 1,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.42 : 2,330.87 = 1,165.76 : x
  2. Step 2: Convert to fraction form
    1,689.42/2,330.87 = 1,165.76/x
  3. Step 3: Cross multiply
    1,689.42x = 2,330.87 × 1,165.76
  4. Step 4: Simplify right side
    1,689.42x = 2,717,217.53
  5. Step 5: Solve for x
    x = 2,717,217.53/1,689.42
  6. Step 6: Final answer
    x = 1,608.37

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.