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Finding the Fourth Proportional to 1,306.46, 1,959.98 and 440.75

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Solution

The fourth proportional to 1,306.46, 1,959.98 and 440.75 is: 661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.46 : 1,959.98 = 440.75 : x
  2. Step 2: Convert to fraction form
    1,306.46/1,959.98 = 440.75/x
  3. Step 3: Cross multiply
    1,306.46x = 1,959.98 × 440.75
  4. Step 4: Simplify right side
    1,306.46x = 863,861.19
  5. Step 5: Solve for x
    x = 863,861.19/1,306.46
  6. Step 6: Final answer
    x = 661.22

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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.