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Finding the Fourth Proportional to 811.14, 1,216.71 and 522.78

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Solution

The fourth proportional to 811.14, 1,216.71 and 522.78 is: 784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.14 : 1,216.71 = 522.78 : x
  2. Step 2: Convert to fraction form
    811.14/1,216.71 = 522.78/x
  3. Step 3: Cross multiply
    811.14x = 1,216.71 × 522.78
  4. Step 4: Simplify right side
    811.14x = 636,071.65
  5. Step 5: Solve for x
    x = 636,071.65/811.14
  6. Step 6: Final answer
    x = 784.17

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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.