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Finding the Fourth Proportional to 493.65, 684.41 and 468.99

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Solution

The fourth proportional to 493.65, 684.41 and 468.99 is: 650.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.65 : 684.41 = 468.99 : x
  2. Step 2: Convert to fraction form
    493.65/684.41 = 468.99/x
  3. Step 3: Cross multiply
    493.65x = 684.41 × 468.99
  4. Step 4: Simplify right side
    493.65x = 320,979.10
  5. Step 5: Solve for x
    x = 320,979.10/493.65
  6. Step 6: Final answer
    x = 650.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.