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Finding the Fourth Proportional to 757.85, 1,136.64 and 210.08

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Solution

The fourth proportional to 757.85, 1,136.64 and 210.08 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.85 : 1,136.64 = 210.08 : x
  2. Step 2: Convert to fraction form
    757.85/1,136.64 = 210.08/x
  3. Step 3: Cross multiply
    757.85x = 1,136.64 × 210.08
  4. Step 4: Simplify right side
    757.85x = 238,787.38
  5. Step 5: Solve for x
    x = 238,787.38/757.85
  6. Step 6: Final answer
    x = 315.09

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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.