Home / 1,033.40-1,550.33-340.17

Finding the Fourth Proportional to 1,033.40, 1,550.33 and 340.17

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Solution

The fourth proportional to 1,033.40, 1,550.33 and 340.17 is: 510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.40 : 1,550.33 = 340.17 : x
  2. Step 2: Convert to fraction form
    1,033.40/1,550.33 = 340.17/x
  3. Step 3: Cross multiply
    1,033.40x = 1,550.33 × 340.17
  4. Step 4: Simplify right side
    1,033.40x = 527,375.76
  5. Step 5: Solve for x
    x = 527,375.76/1,033.40
  6. Step 6: Final answer
    x = 510.33

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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.