Home / 1,206.97-1,811.09-476.55

Finding the Fourth Proportional to 1,206.97, 1,811.09 and 476.55

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Solution

The fourth proportional to 1,206.97, 1,811.09 and 476.55 is: 715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.97 : 1,811.09 = 476.55 : x
  2. Step 2: Convert to fraction form
    1,206.97/1,811.09 = 476.55/x
  3. Step 3: Cross multiply
    1,206.97x = 1,811.09 × 476.55
  4. Step 4: Simplify right side
    1,206.97x = 863,076.13
  5. Step 5: Solve for x
    x = 863,076.13/1,206.97
  6. Step 6: Final answer
    x = 715.08

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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.