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Finding the Fourth Proportional to 1,424.75, 1,966.52 and 804.11

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Solution

The fourth proportional to 1,424.75, 1,966.52 and 804.11 is: 1,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.75 : 1,966.52 = 804.11 : x
  2. Step 2: Convert to fraction form
    1,424.75/1,966.52 = 804.11/x
  3. Step 3: Cross multiply
    1,424.75x = 1,966.52 × 804.11
  4. Step 4: Simplify right side
    1,424.75x = 1,581,294.38
  5. Step 5: Solve for x
    x = 1,581,294.38/1,424.75
  6. Step 6: Final answer
    x = 1,109.87

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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.