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Finding the Fourth Proportional to 1,306.28, 1,802.30 and 809.34

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Solution

The fourth proportional to 1,306.28, 1,802.30 and 809.34 is: 1,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.28 : 1,802.30 = 809.34 : x
  2. Step 2: Convert to fraction form
    1,306.28/1,802.30 = 809.34/x
  3. Step 3: Cross multiply
    1,306.28x = 1,802.30 × 809.34
  4. Step 4: Simplify right side
    1,306.28x = 1,458,669.44
  5. Step 5: Solve for x
    x = 1,458,669.44/1,306.28
  6. Step 6: Final answer
    x = 1,116.66

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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.