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Finding the Fourth Proportional to 1,165.70, 1,748.55 and 549.41

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Solution

The fourth proportional to 1,165.70, 1,748.55 and 549.41 is: 824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.70 : 1,748.55 = 549.41 : x
  2. Step 2: Convert to fraction form
    1,165.70/1,748.55 = 549.41/x
  3. Step 3: Cross multiply
    1,165.70x = 1,748.55 × 549.41
  4. Step 4: Simplify right side
    1,165.70x = 960,670.86
  5. Step 5: Solve for x
    x = 960,670.86/1,165.70
  6. Step 6: Final answer
    x = 824.12

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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.