Home / 1,166.90-1,749.21-436.28

Finding the Fourth Proportional to 1,166.90, 1,749.21 and 436.28

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Solution

The fourth proportional to 1,166.90, 1,749.21 and 436.28 is: 653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.90 : 1,749.21 = 436.28 : x
  2. Step 2: Convert to fraction form
    1,166.90/1,749.21 = 436.28/x
  3. Step 3: Cross multiply
    1,166.90x = 1,749.21 × 436.28
  4. Step 4: Simplify right side
    1,166.90x = 763,136.59
  5. Step 5: Solve for x
    x = 763,136.59/1,166.90
  6. Step 6: Final answer
    x = 653.99

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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.