Home / 1,296.30-1,943.09-565.68

Finding the Fourth Proportional to 1,296.30, 1,943.09 and 565.68

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Solution

The fourth proportional to 1,296.30, 1,943.09 and 565.68 is: 847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.30 : 1,943.09 = 565.68 : x
  2. Step 2: Convert to fraction form
    1,296.30/1,943.09 = 565.68/x
  3. Step 3: Cross multiply
    1,296.30x = 1,943.09 × 565.68
  4. Step 4: Simplify right side
    1,296.30x = 1,099,167.15
  5. Step 5: Solve for x
    x = 1,099,167.15/1,296.30
  6. Step 6: Final answer
    x = 847.93

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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.