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Finding the Fourth Proportional to 776.91, 1,165.56 and 678.49

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Solution

The fourth proportional to 776.91, 1,165.56 and 678.49 is: 1,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.91 : 1,165.56 = 678.49 : x
  2. Step 2: Convert to fraction form
    776.91/1,165.56 = 678.49/x
  3. Step 3: Cross multiply
    776.91x = 1,165.56 × 678.49
  4. Step 4: Simplify right side
    776.91x = 790,820.80
  5. Step 5: Solve for x
    x = 790,820.80/776.91
  6. Step 6: Final answer
    x = 1,017.91

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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.