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Finding the Fourth Proportional to 776.74, 1,165.33 and 256.79

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Solution

The fourth proportional to 776.74, 1,165.33 and 256.79 is: 385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.74 : 1,165.33 = 256.79 : x
  2. Step 2: Convert to fraction form
    776.74/1,165.33 = 256.79/x
  3. Step 3: Cross multiply
    776.74x = 1,165.33 × 256.79
  4. Step 4: Simplify right side
    776.74x = 299,237.98
  5. Step 5: Solve for x
    x = 299,237.98/776.74
  6. Step 6: Final answer
    x = 385.25

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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.