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Finding the Fourth Proportional to 463.86, 641.52 and 405.54

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Solution

The fourth proportional to 463.86, 641.52 and 405.54 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 641.52 = 405.54 : x
  2. Step 2: Convert to fraction form
    463.86/641.52 = 405.54/x
  3. Step 3: Cross multiply
    463.86x = 641.52 × 405.54
  4. Step 4: Simplify right side
    463.86x = 260,162.02
  5. Step 5: Solve for x
    x = 260,162.02/463.86
  6. Step 6: Final answer
    x = 560.86

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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.