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Finding the Fourth Proportional to 836.23, 1,154.97 and 787.63

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Solution

The fourth proportional to 836.23, 1,154.97 and 787.63 is: 1,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.23 : 1,154.97 = 787.63 : x
  2. Step 2: Convert to fraction form
    836.23/1,154.97 = 787.63/x
  3. Step 3: Cross multiply
    836.23x = 1,154.97 × 787.63
  4. Step 4: Simplify right side
    836.23x = 909,679.31
  5. Step 5: Solve for x
    x = 909,679.31/836.23
  6. Step 6: Final answer
    x = 1,087.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.