Home / 1,296.76-1,945.10-431.08

Finding the Fourth Proportional to 1,296.76, 1,945.10 and 431.08

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Solution

The fourth proportional to 1,296.76, 1,945.10 and 431.08 is: 646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.76 : 1,945.10 = 431.08 : x
  2. Step 2: Convert to fraction form
    1,296.76/1,945.10 = 431.08/x
  3. Step 3: Cross multiply
    1,296.76x = 1,945.10 × 431.08
  4. Step 4: Simplify right side
    1,296.76x = 838,493.71
  5. Step 5: Solve for x
    x = 838,493.71/1,296.76
  6. Step 6: Final answer
    x = 646.61

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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.