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Finding the Fourth Proportional to 1,011.81, 1,396.86 and 932.76

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Solution

The fourth proportional to 1,011.81, 1,396.86 and 932.76 is: 1,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.81 : 1,396.86 = 932.76 : x
  2. Step 2: Convert to fraction form
    1,011.81/1,396.86 = 932.76/x
  3. Step 3: Cross multiply
    1,011.81x = 1,396.86 × 932.76
  4. Step 4: Simplify right side
    1,011.81x = 1,302,935.13
  5. Step 5: Solve for x
    x = 1,302,935.13/1,011.81
  6. Step 6: Final answer
    x = 1,287.73

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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.