Home / 1,166.74-1,749.29-436.12

Finding the Fourth Proportional to 1,166.74, 1,749.29 and 436.12

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Solution

The fourth proportional to 1,166.74, 1,749.29 and 436.12 is: 653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.74 : 1,749.29 = 436.12 : x
  2. Step 2: Convert to fraction form
    1,166.74/1,749.29 = 436.12/x
  3. Step 3: Cross multiply
    1,166.74x = 1,749.29 × 436.12
  4. Step 4: Simplify right side
    1,166.74x = 762,893.80
  5. Step 5: Solve for x
    x = 762,893.80/1,166.74
  6. Step 6: Final answer
    x = 653.87

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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.