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Finding the Fourth Proportional to 713.73, 983.98 and 698.21

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Solution

The fourth proportional to 713.73, 983.98 and 698.21 is: 962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 983.98 = 698.21 : x
  2. Step 2: Convert to fraction form
    713.73/983.98 = 698.21/x
  3. Step 3: Cross multiply
    713.73x = 983.98 × 698.21
  4. Step 4: Simplify right side
    713.73x = 687,024.68
  5. Step 5: Solve for x
    x = 687,024.68/713.73
  6. Step 6: Final answer
    x = 962.58

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1.5x scale

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.