Home / 1,207.47-1,811.31-385.86

Finding the Fourth Proportional to 1,207.47, 1,811.31 and 385.86

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Solution

The fourth proportional to 1,207.47, 1,811.31 and 385.86 is: 578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.47 : 1,811.31 = 385.86 : x
  2. Step 2: Convert to fraction form
    1,207.47/1,811.31 = 385.86/x
  3. Step 3: Cross multiply
    1,207.47x = 1,811.31 × 385.86
  4. Step 4: Simplify right side
    1,207.47x = 698,912.08
  5. Step 5: Solve for x
    x = 698,912.08/1,207.47
  6. Step 6: Final answer
    x = 578.82

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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.