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Finding the Fourth Proportional to 464.09, 696.85 and 387.54

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Solution

The fourth proportional to 464.09, 696.85 and 387.54 is: 581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 696.85 = 387.54 : x
  2. Step 2: Convert to fraction form
    464.09/696.85 = 387.54/x
  3. Step 3: Cross multiply
    464.09x = 696.85 × 387.54
  4. Step 4: Simplify right side
    464.09x = 270,056.28
  5. Step 5: Solve for x
    x = 270,056.28/464.09
  6. Step 6: Final answer
    x = 581.91

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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.