Home / 1,033.23-1,550.37-686.80

Finding the Fourth Proportional to 1,033.23, 1,550.37 and 686.80

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Solution

The fourth proportional to 1,033.23, 1,550.37 and 686.80 is: 1,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.23 : 1,550.37 = 686.80 : x
  2. Step 2: Convert to fraction form
    1,033.23/1,550.37 = 686.80/x
  3. Step 3: Cross multiply
    1,033.23x = 1,550.37 × 686.80
  4. Step 4: Simplify right side
    1,033.23x = 1,064,782.93
  5. Step 5: Solve for x
    x = 1,064,782.93/1,033.23
  6. Step 6: Final answer
    x = 1,030.54

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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.