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Finding the Fourth Proportional to 477.19, 658.42 and 319.65

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Solution

The fourth proportional to 477.19, 658.42 and 319.65 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.19 : 658.42 = 319.65 : x
  2. Step 2: Convert to fraction form
    477.19/658.42 = 319.65/x
  3. Step 3: Cross multiply
    477.19x = 658.42 × 319.65
  4. Step 4: Simplify right side
    477.19x = 210,463.95
  5. Step 5: Solve for x
    x = 210,463.95/477.19
  6. Step 6: Final answer
    x = 441.05

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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.