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Finding the Fourth Proportional to 776.86, 1,164.31 and 365.09

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Solution

The fourth proportional to 776.86, 1,164.31 and 365.09 is: 547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.86 : 1,164.31 = 365.09 : x
  2. Step 2: Convert to fraction form
    776.86/1,164.31 = 365.09/x
  3. Step 3: Cross multiply
    776.86x = 1,164.31 × 365.09
  4. Step 4: Simplify right side
    776.86x = 425,071.20
  5. Step 5: Solve for x
    x = 425,071.20/776.86
  6. Step 6: Final answer
    x = 547.17

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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.