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Finding the Fourth Proportional to 1,311.46, 1,974.95 and 948.79

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Solution

The fourth proportional to 1,311.46, 1,974.95 and 948.79 is: 1,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.46 : 1,974.95 = 948.79 : x
  2. Step 2: Convert to fraction form
    1,311.46/1,974.95 = 948.79/x
  3. Step 3: Cross multiply
    1,311.46x = 1,974.95 × 948.79
  4. Step 4: Simplify right side
    1,311.46x = 1,873,812.81
  5. Step 5: Solve for x
    x = 1,873,812.81/1,311.46
  6. Step 6: Final answer
    x = 1,428.80

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.