Home / 1,039.24-1,434.09-567.10

Finding the Fourth Proportional to 1,039.24, 1,434.09 and 567.10

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Solution

The fourth proportional to 1,039.24, 1,434.09 and 567.10 is: 782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.24 : 1,434.09 = 567.10 : x
  2. Step 2: Convert to fraction form
    1,039.24/1,434.09 = 567.10/x
  3. Step 3: Cross multiply
    1,039.24x = 1,434.09 × 567.10
  4. Step 4: Simplify right side
    1,039.24x = 813,272.44
  5. Step 5: Solve for x
    x = 813,272.44/1,039.24
  6. Step 6: Final answer
    x = 782.56

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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.