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Finding the Fourth Proportional to 713.99, 1,076.25 and 654.75

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Solution

The fourth proportional to 713.99, 1,076.25 and 654.75 is: 986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.99 : 1,076.25 = 654.75 : x
  2. Step 2: Convert to fraction form
    713.99/1,076.25 = 654.75/x
  3. Step 3: Cross multiply
    713.99x = 1,076.25 × 654.75
  4. Step 4: Simplify right side
    713.99x = 704,674.69
  5. Step 5: Solve for x
    x = 704,674.69/713.99
  6. Step 6: Final answer
    x = 986.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.