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Finding the Fourth Proportional to 713.94, 982.95 and 621.90

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Solution

The fourth proportional to 713.94, 982.95 and 621.90 is: 856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.94 : 982.95 = 621.90 : x
  2. Step 2: Convert to fraction form
    713.94/982.95 = 621.90/x
  3. Step 3: Cross multiply
    713.94x = 982.95 × 621.90
  4. Step 4: Simplify right side
    713.94x = 611,296.61
  5. Step 5: Solve for x
    x = 611,296.61/713.94
  6. Step 6: Final answer
    x = 856.23

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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.