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Finding the Fourth Proportional to 1,165.08, 1,748.99 and 816.99

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Solution

The fourth proportional to 1,165.08, 1,748.99 and 816.99 is: 1,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.08 : 1,748.99 = 816.99 : x
  2. Step 2: Convert to fraction form
    1,165.08/1,748.99 = 816.99/x
  3. Step 3: Cross multiply
    1,165.08x = 1,748.99 × 816.99
  4. Step 4: Simplify right side
    1,165.08x = 1,428,902.82
  5. Step 5: Solve for x
    x = 1,428,902.82/1,165.08
  6. Step 6: Final answer
    x = 1,226.44

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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.