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Finding the Fourth Proportional to 491.79, 677.91 and 367.26

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Solution

The fourth proportional to 491.79, 677.91 and 367.26 is: 506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.79 : 677.91 = 367.26 : x
  2. Step 2: Convert to fraction form
    491.79/677.91 = 367.26/x
  3. Step 3: Cross multiply
    491.79x = 677.91 × 367.26
  4. Step 4: Simplify right side
    491.79x = 248,969.23
  5. Step 5: Solve for x
    x = 248,969.23/491.79
  6. Step 6: Final answer
    x = 506.25

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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.