Home / 1,205.24-1,808.07-383.70

Finding the Fourth Proportional to 1,205.24, 1,808.07 and 383.70

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Solution

The fourth proportional to 1,205.24, 1,808.07 and 383.70 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.24 : 1,808.07 = 383.70 : x
  2. Step 2: Convert to fraction form
    1,205.24/1,808.07 = 383.70/x
  3. Step 3: Cross multiply
    1,205.24x = 1,808.07 × 383.70
  4. Step 4: Simplify right side
    1,205.24x = 693,756.46
  5. Step 5: Solve for x
    x = 693,756.46/1,205.24
  6. Step 6: Final answer
    x = 575.62

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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.