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Finding the Fourth Proportional to 477.61, 716.41 and 169.29

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Solution

The fourth proportional to 477.61, 716.41 and 169.29 is: 253.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.61 : 716.41 = 169.29 : x
  2. Step 2: Convert to fraction form
    477.61/716.41 = 169.29/x
  3. Step 3: Cross multiply
    477.61x = 716.41 × 169.29
  4. Step 4: Simplify right side
    477.61x = 121,281.05
  5. Step 5: Solve for x
    x = 121,281.05/477.61
  6. Step 6: Final answer
    x = 253.94

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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.