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Finding the Fourth Proportional to 464.77, 641.01 and 412.35

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Solution

The fourth proportional to 464.77, 641.01 and 412.35 is: 568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.77 : 641.01 = 412.35 : x
  2. Step 2: Convert to fraction form
    464.77/641.01 = 412.35/x
  3. Step 3: Cross multiply
    464.77x = 641.01 × 412.35
  4. Step 4: Simplify right side
    464.77x = 264,320.47
  5. Step 5: Solve for x
    x = 264,320.47/464.77
  6. Step 6: Final answer
    x = 568.71

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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.