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Finding the Fourth Proportional to 477.35, 715.96 and 169.11

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Solution

The fourth proportional to 477.35, 715.96 and 169.11 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.35 : 715.96 = 169.11 : x
  2. Step 2: Convert to fraction form
    477.35/715.96 = 169.11/x
  3. Step 3: Cross multiply
    477.35x = 715.96 × 169.11
  4. Step 4: Simplify right side
    477.35x = 121,075.57
  5. Step 5: Solve for x
    x = 121,075.57/477.35
  6. Step 6: Final answer
    x = 253.64

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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.