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Finding the Fourth Proportional to 497.62, 743.05 and 393.74

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Solution

The fourth proportional to 497.62, 743.05 and 393.74 is: 587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.62 : 743.05 = 393.74 : x
  2. Step 2: Convert to fraction form
    497.62/743.05 = 393.74/x
  3. Step 3: Cross multiply
    497.62x = 743.05 × 393.74
  4. Step 4: Simplify right side
    497.62x = 292,564.87
  5. Step 5: Solve for x
    x = 292,564.87/497.62
  6. Step 6: Final answer
    x = 587.93

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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.