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Finding the Fourth Proportional to 701.33, 970.25 and 614.25

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Solution

The fourth proportional to 701.33, 970.25 and 614.25 is: 849.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.33 : 970.25 = 614.25 : x
  2. Step 2: Convert to fraction form
    701.33/970.25 = 614.25/x
  3. Step 3: Cross multiply
    701.33x = 970.25 × 614.25
  4. Step 4: Simplify right side
    701.33x = 595,972.99
  5. Step 5: Solve for x
    x = 595,972.99/701.33
  6. Step 6: Final answer
    x = 849.78

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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.