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Finding the Fourth Proportional to 779.05, 1,167.96 and 534.85

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Solution

The fourth proportional to 779.05, 1,167.96 and 534.85 is: 801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.05 : 1,167.96 = 534.85 : x
  2. Step 2: Convert to fraction form
    779.05/1,167.96 = 534.85/x
  3. Step 3: Cross multiply
    779.05x = 1,167.96 × 534.85
  4. Step 4: Simplify right side
    779.05x = 624,683.41
  5. Step 5: Solve for x
    x = 624,683.41/779.05
  6. Step 6: Final answer
    x = 801.85

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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.