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Finding the Fourth Proportional to 686.66, 944.52 and 602.22

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Solution

The fourth proportional to 686.66, 944.52 and 602.22 is: 828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.66 : 944.52 = 602.22 : x
  2. Step 2: Convert to fraction form
    686.66/944.52 = 602.22/x
  3. Step 3: Cross multiply
    686.66x = 944.52 × 602.22
  4. Step 4: Simplify right side
    686.66x = 568,808.83
  5. Step 5: Solve for x
    x = 568,808.83/686.66
  6. Step 6: Final answer
    x = 828.37

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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.