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Finding the Fourth Proportional to 1,296.38, 1,785.38 and 1,213.00

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Solution

The fourth proportional to 1,296.38, 1,785.38 and 1,213.00 is: 1,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.38 : 1,785.38 = 1,213.00 : x
  2. Step 2: Convert to fraction form
    1,296.38/1,785.38 = 1,213.00/x
  3. Step 3: Cross multiply
    1,296.38x = 1,785.38 × 1,213.00
  4. Step 4: Simplify right side
    1,296.38x = 2,165,655.41
  5. Step 5: Solve for x
    x = 2,165,655.41/1,296.38
  6. Step 6: Final answer
    x = 1,670.55

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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.