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Finding the Fourth Proportional to 1,136.60, 1,704.90 and 314.87

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Solution

The fourth proportional to 1,136.60, 1,704.90 and 314.87 is: 472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.60 : 1,704.90 = 314.87 : x
  2. Step 2: Convert to fraction form
    1,136.60/1,704.90 = 314.87/x
  3. Step 3: Cross multiply
    1,136.60x = 1,704.90 × 314.87
  4. Step 4: Simplify right side
    1,136.60x = 536,811.76
  5. Step 5: Solve for x
    x = 536,811.76/1,136.60
  6. Step 6: Final answer
    x = 472.30

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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.