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Finding the Fourth Proportional to 613.24, 920.72 and 394.81

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Solution

The fourth proportional to 613.24, 920.72 and 394.81 is: 592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.24 : 920.72 = 394.81 : x
  2. Step 2: Convert to fraction form
    613.24/920.72 = 394.81/x
  3. Step 3: Cross multiply
    613.24x = 920.72 × 394.81
  4. Step 4: Simplify right side
    613.24x = 363,509.46
  5. Step 5: Solve for x
    x = 363,509.46/613.24
  6. Step 6: Final answer
    x = 592.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.