Home / 1,165.23-1,748.12-800.19

Finding the Fourth Proportional to 1,165.23, 1,748.12 and 800.19

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Solution

The fourth proportional to 1,165.23, 1,748.12 and 800.19 is: 1,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.23 : 1,748.12 = 800.19 : x
  2. Step 2: Convert to fraction form
    1,165.23/1,748.12 = 800.19/x
  3. Step 3: Cross multiply
    1,165.23x = 1,748.12 × 800.19
  4. Step 4: Simplify right side
    1,165.23x = 1,398,824.14
  5. Step 5: Solve for x
    x = 1,398,824.14/1,165.23
  6. Step 6: Final answer
    x = 1,200.47

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1.5x scale

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.