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Finding the Fourth Proportional to 1,212.67, 1,814.55 and 750.70

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Solution

The fourth proportional to 1,212.67, 1,814.55 and 750.70 is: 1,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.67 : 1,814.55 = 750.70 : x
  2. Step 2: Convert to fraction form
    1,212.67/1,814.55 = 750.70/x
  3. Step 3: Cross multiply
    1,212.67x = 1,814.55 × 750.70
  4. Step 4: Simplify right side
    1,212.67x = 1,362,182.69
  5. Step 5: Solve for x
    x = 1,362,182.69/1,212.67
  6. Step 6: Final answer
    x = 1,123.29

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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.