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Finding the Fourth Proportional to 1,312.75, 1,969.17 and 447.13

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Solution

The fourth proportional to 1,312.75, 1,969.17 and 447.13 is: 670.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.75 : 1,969.17 = 447.13 : x
  2. Step 2: Convert to fraction form
    1,312.75/1,969.17 = 447.13/x
  3. Step 3: Cross multiply
    1,312.75x = 1,969.17 × 447.13
  4. Step 4: Simplify right side
    1,312.75x = 880,474.98
  5. Step 5: Solve for x
    x = 880,474.98/1,312.75
  6. Step 6: Final answer
    x = 670.71

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Double scale
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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.