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Finding the Fourth Proportional to 1,306.96, 1,959.66 and 441.16

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Solution

The fourth proportional to 1,306.96, 1,959.66 and 441.16 is: 661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.96 : 1,959.66 = 441.16 : x
  2. Step 2: Convert to fraction form
    1,306.96/1,959.66 = 441.16/x
  3. Step 3: Cross multiply
    1,306.96x = 1,959.66 × 441.16
  4. Step 4: Simplify right side
    1,306.96x = 864,523.61
  5. Step 5: Solve for x
    x = 864,523.61/1,306.96
  6. Step 6: Final answer
    x = 661.48

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.