Home / 1,207.24-1,811.08-385.72

Finding the Fourth Proportional to 1,207.24, 1,811.08 and 385.72

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Solution

The fourth proportional to 1,207.24, 1,811.08 and 385.72 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.24 : 1,811.08 = 385.72 : x
  2. Step 2: Convert to fraction form
    1,207.24/1,811.08 = 385.72/x
  3. Step 3: Cross multiply
    1,207.24x = 1,811.08 × 385.72
  4. Step 4: Simplify right side
    1,207.24x = 698,569.78
  5. Step 5: Solve for x
    x = 698,569.78/1,207.24
  6. Step 6: Final answer
    x = 578.65

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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.