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Finding the Fourth Proportional to 934.75, 1,400.29 and 687.49

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Solution

The fourth proportional to 934.75, 1,400.29 and 687.49 is: 1,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.75 : 1,400.29 = 687.49 : x
  2. Step 2: Convert to fraction form
    934.75/1,400.29 = 687.49/x
  3. Step 3: Cross multiply
    934.75x = 1,400.29 × 687.49
  4. Step 4: Simplify right side
    934.75x = 962,685.37
  5. Step 5: Solve for x
    x = 962,685.37/934.75
  6. Step 6: Final answer
    x = 1,029.89

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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.