Home / 1,089.28-1,634.10-511.84

Finding the Fourth Proportional to 1,089.28, 1,634.10 and 511.84

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Solution

The fourth proportional to 1,089.28, 1,634.10 and 511.84 is: 767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.28 : 1,634.10 = 511.84 : x
  2. Step 2: Convert to fraction form
    1,089.28/1,634.10 = 511.84/x
  3. Step 3: Cross multiply
    1,089.28x = 1,634.10 × 511.84
  4. Step 4: Simplify right side
    1,089.28x = 836,397.74
  5. Step 5: Solve for x
    x = 836,397.74/1,089.28
  6. Step 6: Final answer
    x = 767.84

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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.