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Finding the Fourth Proportional to 464.59, 697.68 and 412.65

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Solution

The fourth proportional to 464.59, 697.68 and 412.65 is: 619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.59 : 697.68 = 412.65 : x
  2. Step 2: Convert to fraction form
    464.59/697.68 = 412.65/x
  3. Step 3: Cross multiply
    464.59x = 697.68 × 412.65
  4. Step 4: Simplify right side
    464.59x = 287,897.65
  5. Step 5: Solve for x
    x = 287,897.65/464.59
  6. Step 6: Final answer
    x = 619.68

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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.