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Finding the Fourth Proportional to 777.87, 1,165.05 and 411.48

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Solution

The fourth proportional to 777.87, 1,165.05 and 411.48 is: 616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.87 : 1,165.05 = 411.48 : x
  2. Step 2: Convert to fraction form
    777.87/1,165.05 = 411.48/x
  3. Step 3: Cross multiply
    777.87x = 1,165.05 × 411.48
  4. Step 4: Simplify right side
    777.87x = 479,394.77
  5. Step 5: Solve for x
    x = 479,394.77/777.87
  6. Step 6: Final answer
    x = 616.29

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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.