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Finding the Fourth Proportional to 431.86, 648.51 and 354.82

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Solution

The fourth proportional to 431.86, 648.51 and 354.82 is: 532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.86 : 648.51 = 354.82 : x
  2. Step 2: Convert to fraction form
    431.86/648.51 = 354.82/x
  3. Step 3: Cross multiply
    431.86x = 648.51 × 354.82
  4. Step 4: Simplify right side
    431.86x = 230,104.32
  5. Step 5: Solve for x
    x = 230,104.32/431.86
  6. Step 6: Final answer
    x = 532.82

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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.