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Finding the Fourth Proportional to 836.67, 1,154.19 and 777.30

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Solution

The fourth proportional to 836.67, 1,154.19 and 777.30 is: 1,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.67 : 1,154.19 = 777.30 : x
  2. Step 2: Convert to fraction form
    836.67/1,154.19 = 777.30/x
  3. Step 3: Cross multiply
    836.67x = 1,154.19 × 777.30
  4. Step 4: Simplify right side
    836.67x = 897,151.89
  5. Step 5: Solve for x
    x = 897,151.89/836.67
  6. Step 6: Final answer
    x = 1,072.29

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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.