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Finding the Fourth Proportional to 1,165.32, 1,747.98 and 921.51

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Solution

The fourth proportional to 1,165.32, 1,747.98 and 921.51 is: 1,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.32 : 1,747.98 = 921.51 : x
  2. Step 2: Convert to fraction form
    1,165.32/1,747.98 = 921.51/x
  3. Step 3: Cross multiply
    1,165.32x = 1,747.98 × 921.51
  4. Step 4: Simplify right side
    1,165.32x = 1,610,781.05
  5. Step 5: Solve for x
    x = 1,610,781.05/1,165.32
  6. Step 6: Final answer
    x = 1,382.27

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Double scale
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Similar ratio
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1.5x scale

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.