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Finding the Fourth Proportional to 1,136.14, 1,704 and 314.31

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Solution

The fourth proportional to 1,136.14, 1,704 and 314.31 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.14 : 1,704 = 314.31 : x
  2. Step 2: Convert to fraction form
    1,136.14/1,704 = 314.31/x
  3. Step 3: Cross multiply
    1,136.14x = 1,704 × 314.31
  4. Step 4: Simplify right side
    1,136.14x = 535,575.72
  5. Step 5: Solve for x
    x = 535,575.72/1,136.14
  6. Step 6: Final answer
    x = 471.40

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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.