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Finding the Fourth Proportional to 1,136.22, 1,703.11 and 404.79

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Solution

The fourth proportional to 1,136.22, 1,703.11 and 404.79 is: 606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.22 : 1,703.11 = 404.79 : x
  2. Step 2: Convert to fraction form
    1,136.22/1,703.11 = 404.79/x
  3. Step 3: Cross multiply
    1,136.22x = 1,703.11 × 404.79
  4. Step 4: Simplify right side
    1,136.22x = 689,401.90
  5. Step 5: Solve for x
    x = 689,401.90/1,136.22
  6. Step 6: Final answer
    x = 606.75

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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.