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Finding the Fourth Proportional to 464.65, 697.12 and 291.44

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Solution

The fourth proportional to 464.65, 697.12 and 291.44 is: 437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.65 : 697.12 = 291.44 : x
  2. Step 2: Convert to fraction form
    464.65/697.12 = 291.44/x
  3. Step 3: Cross multiply
    464.65x = 697.12 × 291.44
  4. Step 4: Simplify right side
    464.65x = 203,164.44
  5. Step 5: Solve for x
    x = 203,164.44/464.65
  6. Step 6: Final answer
    x = 437.24

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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.