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Finding the Fourth Proportional to 1,230.76, 1,846.12 and 318.76

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Solution

The fourth proportional to 1,230.76, 1,846.12 and 318.76 is: 478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.76 : 1,846.12 = 318.76 : x
  2. Step 2: Convert to fraction form
    1,230.76/1,846.12 = 318.76/x
  3. Step 3: Cross multiply
    1,230.76x = 1,846.12 × 318.76
  4. Step 4: Simplify right side
    1,230.76x = 588,469.21
  5. Step 5: Solve for x
    x = 588,469.21/1,230.76
  6. Step 6: Final answer
    x = 478.13

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.