Home / 1,208.06-1,812.75-477.64

Finding the Fourth Proportional to 1,208.06, 1,812.75 and 477.64

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Solution

The fourth proportional to 1,208.06, 1,812.75 and 477.64 is: 716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.06 : 1,812.75 = 477.64 : x
  2. Step 2: Convert to fraction form
    1,208.06/1,812.75 = 477.64/x
  3. Step 3: Cross multiply
    1,208.06x = 1,812.75 × 477.64
  4. Step 4: Simplify right side
    1,208.06x = 865,842.38
  5. Step 5: Solve for x
    x = 865,842.38/1,208.06
  6. Step 6: Final answer
    x = 716.72

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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.