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Finding the Fourth Proportional to 497.86, 743.28 and 381.66

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Solution

The fourth proportional to 497.86, 743.28 and 381.66 is: 569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.86 : 743.28 = 381.66 : x
  2. Step 2: Convert to fraction form
    497.86/743.28 = 381.66/x
  3. Step 3: Cross multiply
    497.86x = 743.28 × 381.66
  4. Step 4: Simplify right side
    497.86x = 283,680.24
  5. Step 5: Solve for x
    x = 283,680.24/497.86
  6. Step 6: Final answer
    x = 569.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.