Home / 1,165.35-1,748.01-299.66

Finding the Fourth Proportional to 1,165.35, 1,748.01 and 299.66

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Solution

The fourth proportional to 1,165.35, 1,748.01 and 299.66 is: 449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.35 : 1,748.01 = 299.66 : x
  2. Step 2: Convert to fraction form
    1,165.35/1,748.01 = 299.66/x
  3. Step 3: Cross multiply
    1,165.35x = 1,748.01 × 299.66
  4. Step 4: Simplify right side
    1,165.35x = 523,808.68
  5. Step 5: Solve for x
    x = 523,808.68/1,165.35
  6. Step 6: Final answer
    x = 449.49

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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.