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Finding the Fourth Proportional to 701.95, 968.16 and 515.38

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Solution

The fourth proportional to 701.95, 968.16 and 515.38 is: 710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.95 : 968.16 = 515.38 : x
  2. Step 2: Convert to fraction form
    701.95/968.16 = 515.38/x
  3. Step 3: Cross multiply
    701.95x = 968.16 × 515.38
  4. Step 4: Simplify right side
    701.95x = 498,970.30
  5. Step 5: Solve for x
    x = 498,970.30/701.95
  6. Step 6: Final answer
    x = 710.83

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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.