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Finding the Fourth Proportional to 776.10, 1,164.17 and 365.43

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Solution

The fourth proportional to 776.10, 1,164.17 and 365.43 is: 548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.10 : 1,164.17 = 365.43 : x
  2. Step 2: Convert to fraction form
    776.10/1,164.17 = 365.43/x
  3. Step 3: Cross multiply
    776.10x = 1,164.17 × 365.43
  4. Step 4: Simplify right side
    776.10x = 425,422.64
  5. Step 5: Solve for x
    x = 425,422.64/776.10
  6. Step 6: Final answer
    x = 548.15

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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.