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Finding the Fourth Proportional to 912.74, 1,258.62 and 838.76

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Solution

The fourth proportional to 912.74, 1,258.62 and 838.76 is: 1,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.74 : 1,258.62 = 838.76 : x
  2. Step 2: Convert to fraction form
    912.74/1,258.62 = 838.76/x
  3. Step 3: Cross multiply
    912.74x = 1,258.62 × 838.76
  4. Step 4: Simplify right side
    912.74x = 1,055,680.11
  5. Step 5: Solve for x
    x = 1,055,680.11/912.74
  6. Step 6: Final answer
    x = 1,156.61

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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.