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Finding the Fourth Proportional to 693.97, 958.13 and 536.33

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Solution

The fourth proportional to 693.97, 958.13 and 536.33 is: 740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.97 : 958.13 = 536.33 : x
  2. Step 2: Convert to fraction form
    693.97/958.13 = 536.33/x
  3. Step 3: Cross multiply
    693.97x = 958.13 × 536.33
  4. Step 4: Simplify right side
    693.97x = 513,866.39
  5. Step 5: Solve for x
    x = 513,866.39/693.97
  6. Step 6: Final answer
    x = 740.48

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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.