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Finding the Fourth Proportional to 852.38, 1,176.25 and 479.39

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Solution

The fourth proportional to 852.38, 1,176.25 and 479.39 is: 661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.38 : 1,176.25 = 479.39 : x
  2. Step 2: Convert to fraction form
    852.38/1,176.25 = 479.39/x
  3. Step 3: Cross multiply
    852.38x = 1,176.25 × 479.39
  4. Step 4: Simplify right side
    852.38x = 563,882.49
  5. Step 5: Solve for x
    x = 563,882.49/852.38
  6. Step 6: Final answer
    x = 661.54

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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.