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Finding the Fourth Proportional to 1,165.79, 1,749.05 and 549.47

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Solution

The fourth proportional to 1,165.79, 1,749.05 and 549.47 is: 824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.79 : 1,749.05 = 549.47 : x
  2. Step 2: Convert to fraction form
    1,165.79/1,749.05 = 549.47/x
  3. Step 3: Cross multiply
    1,165.79x = 1,749.05 × 549.47
  4. Step 4: Simplify right side
    1,165.79x = 961,039.01
  5. Step 5: Solve for x
    x = 961,039.01/1,165.79
  6. Step 6: Final answer
    x = 824.37

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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.