Home / 1,165.32-1,748.10-299.64

Finding the Fourth Proportional to 1,165.32, 1,748.10 and 299.64

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Solution

The fourth proportional to 1,165.32, 1,748.10 and 299.64 is: 449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.32 : 1,748.10 = 299.64 : x
  2. Step 2: Convert to fraction form
    1,165.32/1,748.10 = 299.64/x
  3. Step 3: Cross multiply
    1,165.32x = 1,748.10 × 299.64
  4. Step 4: Simplify right side
    1,165.32x = 523,800.68
  5. Step 5: Solve for x
    x = 523,800.68/1,165.32
  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.