Home / 1,296.24-1,943.85-565.31

Finding the Fourth Proportional to 1,296.24, 1,943.85 and 565.31

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Solution

The fourth proportional to 1,296.24, 1,943.85 and 565.31 is: 847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.24 : 1,943.85 = 565.31 : x
  2. Step 2: Convert to fraction form
    1,296.24/1,943.85 = 565.31/x
  3. Step 3: Cross multiply
    1,296.24x = 1,943.85 × 565.31
  4. Step 4: Simplify right side
    1,296.24x = 1,098,880.58
  5. Step 5: Solve for x
    x = 1,098,880.58/1,296.24
  6. Step 6: Final answer
    x = 847.75

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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.