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Finding the Fourth Proportional to 658.24, 908.44 and 363.51

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Solution

The fourth proportional to 658.24, 908.44 and 363.51 is: 501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.24 : 908.44 = 363.51 : x
  2. Step 2: Convert to fraction form
    658.24/908.44 = 363.51/x
  3. Step 3: Cross multiply
    658.24x = 908.44 × 363.51
  4. Step 4: Simplify right side
    658.24x = 330,226.12
  5. Step 5: Solve for x
    x = 330,226.12/658.24
  6. Step 6: Final answer
    x = 501.68

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1.5x scale

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.