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Finding the Fourth Proportional to 776.50, 1,165.32 and 391.78

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Solution

The fourth proportional to 776.50, 1,165.32 and 391.78 is: 587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.50 : 1,165.32 = 391.78 : x
  2. Step 2: Convert to fraction form
    776.50/1,165.32 = 391.78/x
  3. Step 3: Cross multiply
    776.50x = 1,165.32 × 391.78
  4. Step 4: Simplify right side
    776.50x = 456,549.07
  5. Step 5: Solve for x
    x = 456,549.07/776.50
  6. Step 6: Final answer
    x = 587.96

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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.