Home / 1,207.30-1,811.13-385.75

Finding the Fourth Proportional to 1,207.30, 1,811.13 and 385.75

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Solution

The fourth proportional to 1,207.30, 1,811.13 and 385.75 is: 578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.30 : 1,811.13 = 385.75 : x
  2. Step 2: Convert to fraction form
    1,207.30/1,811.13 = 385.75/x
  3. Step 3: Cross multiply
    1,207.30x = 1,811.13 × 385.75
  4. Step 4: Simplify right side
    1,207.30x = 698,643.40
  5. Step 5: Solve for x
    x = 698,643.40/1,207.30
  6. Step 6: Final answer
    x = 578.68

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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.