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Finding the Fourth Proportional to 777.09, 1,165.85 and 257.18

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Solution

The fourth proportional to 777.09, 1,165.85 and 257.18 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.09 : 1,165.85 = 257.18 : x
  2. Step 2: Convert to fraction form
    777.09/1,165.85 = 257.18/x
  3. Step 3: Cross multiply
    777.09x = 1,165.85 × 257.18
  4. Step 4: Simplify right side
    777.09x = 299,826.19
  5. Step 5: Solve for x
    x = 299,826.19/777.09
  6. Step 6: Final answer
    x = 385.83

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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.