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Finding the Fourth Proportional to 776.89, 1,165.34 and 199.77

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Solution

The fourth proportional to 776.89, 1,165.34 and 199.77 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.89 : 1,165.34 = 199.77 : x
  2. Step 2: Convert to fraction form
    776.89/1,165.34 = 199.77/x
  3. Step 3: Cross multiply
    776.89x = 1,165.34 × 199.77
  4. Step 4: Simplify right side
    776.89x = 232,799.97
  5. Step 5: Solve for x
    x = 232,799.97/776.89
  6. Step 6: Final answer
    x = 299.66

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1.5x scale

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.