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Finding the Fourth Proportional to 677.71, 935.23 and 367.21

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Solution

The fourth proportional to 677.71, 935.23 and 367.21 is: 506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.71 : 935.23 = 367.21 : x
  2. Step 2: Convert to fraction form
    677.71/935.23 = 367.21/x
  3. Step 3: Cross multiply
    677.71x = 935.23 × 367.21
  4. Step 4: Simplify right side
    677.71x = 343,421.13
  5. Step 5: Solve for x
    x = 343,421.13/677.71
  6. Step 6: Final answer
    x = 506.74

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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.