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Finding the Fourth Proportional to 1,165.78, 1,609.23 and 772.66

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Solution

The fourth proportional to 1,165.78, 1,609.23 and 772.66 is: 1,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.78 : 1,609.23 = 772.66 : x
  2. Step 2: Convert to fraction form
    1,165.78/1,609.23 = 772.66/x
  3. Step 3: Cross multiply
    1,165.78x = 1,609.23 × 772.66
  4. Step 4: Simplify right side
    1,165.78x = 1,243,387.65
  5. Step 5: Solve for x
    x = 1,243,387.65/1,165.78
  6. Step 6: Final answer
    x = 1,066.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.