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Finding the Fourth Proportional to 1,306.79, 1,803.44 and 809.69

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Solution

The fourth proportional to 1,306.79, 1,803.44 and 809.69 is: 1,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.79 : 1,803.44 = 809.69 : x
  2. Step 2: Convert to fraction form
    1,306.79/1,803.44 = 809.69/x
  3. Step 3: Cross multiply
    1,306.79x = 1,803.44 × 809.69
  4. Step 4: Simplify right side
    1,306.79x = 1,460,227.33
  5. Step 5: Solve for x
    x = 1,460,227.33/1,306.79
  6. Step 6: Final answer
    x = 1,117.42

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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.