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Finding the Fourth Proportional to 1,222.99, 1,687.88 and 750.78

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Solution

The fourth proportional to 1,222.99, 1,687.88 and 750.78 is: 1,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.99 : 1,687.88 = 750.78 : x
  2. Step 2: Convert to fraction form
    1,222.99/1,687.88 = 750.78/x
  3. Step 3: Cross multiply
    1,222.99x = 1,687.88 × 750.78
  4. Step 4: Simplify right side
    1,222.99x = 1,267,228.42
  5. Step 5: Solve for x
    x = 1,267,228.42/1,222.99
  6. Step 6: Final answer
    x = 1,036.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.