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Finding the Fourth Proportional to 696.33, 958.10 and 602.78

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Solution

The fourth proportional to 696.33, 958.10 and 602.78 is: 829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.33 : 958.10 = 602.78 : x
  2. Step 2: Convert to fraction form
    696.33/958.10 = 602.78/x
  3. Step 3: Cross multiply
    696.33x = 958.10 × 602.78
  4. Step 4: Simplify right side
    696.33x = 577,515.71
  5. Step 5: Solve for x
    x = 577,515.71/696.33
  6. Step 6: Final answer
    x = 829.37

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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.