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Finding the Fourth Proportional to 477.23, 658.80 and 319.95

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Solution

The fourth proportional to 477.23, 658.80 and 319.95 is: 441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.23 : 658.80 = 319.95 : x
  2. Step 2: Convert to fraction form
    477.23/658.80 = 319.95/x
  3. Step 3: Cross multiply
    477.23x = 658.80 × 319.95
  4. Step 4: Simplify right side
    477.23x = 210,783.06
  5. Step 5: Solve for x
    x = 210,783.06/477.23
  6. Step 6: Final answer
    x = 441.68

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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.