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Finding the Fourth Proportional to 1,136.78, 1,704.89 and 314.86

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Solution

The fourth proportional to 1,136.78, 1,704.89 and 314.86 is: 472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.78 : 1,704.89 = 314.86 : x
  2. Step 2: Convert to fraction form
    1,136.78/1,704.89 = 314.86/x
  3. Step 3: Cross multiply
    1,136.78x = 1,704.89 × 314.86
  4. Step 4: Simplify right side
    1,136.78x = 536,801.67
  5. Step 5: Solve for x
    x = 536,801.67/1,136.78
  6. Step 6: Final answer
    x = 472.21

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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.