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Finding the Fourth Proportional to 1,165.64, 1,748.42 and 549.14

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Solution

The fourth proportional to 1,165.64, 1,748.42 and 549.14 is: 823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.64 : 1,748.42 = 549.14 : x
  2. Step 2: Convert to fraction form
    1,165.64/1,748.42 = 549.14/x
  3. Step 3: Cross multiply
    1,165.64x = 1,748.42 × 549.14
  4. Step 4: Simplify right side
    1,165.64x = 960,127.36
  5. Step 5: Solve for x
    x = 960,127.36/1,165.64
  6. Step 6: Final answer
    x = 823.69

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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.