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Finding the Fourth Proportional to 464.12, 696.87 and 291.88

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Solution

The fourth proportional to 464.12, 696.87 and 291.88 is: 438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 696.87 = 291.88 : x
  2. Step 2: Convert to fraction form
    464.12/696.87 = 291.88/x
  3. Step 3: Cross multiply
    464.12x = 696.87 × 291.88
  4. Step 4: Simplify right side
    464.12x = 203,398.93
  5. Step 5: Solve for x
    x = 203,398.93/464.12
  6. Step 6: Final answer
    x = 438.25

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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.