Home / 1,207.56-1,811.64-385.80

Finding the Fourth Proportional to 1,207.56, 1,811.64 and 385.80

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Solution

The fourth proportional to 1,207.56, 1,811.64 and 385.80 is: 578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.56 : 1,811.64 = 385.80 : x
  2. Step 2: Convert to fraction form
    1,207.56/1,811.64 = 385.80/x
  3. Step 3: Cross multiply
    1,207.56x = 1,811.64 × 385.80
  4. Step 4: Simplify right side
    1,207.56x = 698,930.71
  5. Step 5: Solve for x
    x = 698,930.71/1,207.56
  6. Step 6: Final answer
    x = 578.80

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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.