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Finding the Fourth Proportional to 681.84, 1,021.40 and 625.84

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Solution

The fourth proportional to 681.84, 1,021.40 and 625.84 is: 937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 1,021.40 = 625.84 : x
  2. Step 2: Convert to fraction form
    681.84/1,021.40 = 625.84/x
  3. Step 3: Cross multiply
    681.84x = 1,021.40 × 625.84
  4. Step 4: Simplify right side
    681.84x = 639,232.98
  5. Step 5: Solve for x
    x = 639,232.98/681.84
  6. Step 6: Final answer
    x = 937.51

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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.