Home / 1,029.26-1,543.99-288.87

Finding the Fourth Proportional to 1,029.26, 1,543.99 and 288.87

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Solution

The fourth proportional to 1,029.26, 1,543.99 and 288.87 is: 433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.26 : 1,543.99 = 288.87 : x
  2. Step 2: Convert to fraction form
    1,029.26/1,543.99 = 288.87/x
  3. Step 3: Cross multiply
    1,029.26x = 1,543.99 × 288.87
  4. Step 4: Simplify right side
    1,029.26x = 446,012.39
  5. Step 5: Solve for x
    x = 446,012.39/1,029.26
  6. Step 6: Final answer
    x = 433.33

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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.