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Finding the Fourth Proportional to 822.71, 1,228.10 and 761.74

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Solution

The fourth proportional to 822.71, 1,228.10 and 761.74 is: 1,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.71 : 1,228.10 = 761.74 : x
  2. Step 2: Convert to fraction form
    822.71/1,228.10 = 761.74/x
  3. Step 3: Cross multiply
    822.71x = 1,228.10 × 761.74
  4. Step 4: Simplify right side
    822.71x = 935,490.52
  5. Step 5: Solve for x
    x = 935,490.52/822.71
  6. Step 6: Final answer
    x = 1,137.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.