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Finding the Fourth Proportional to 497.51, 743.40 and 379.73

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Solution

The fourth proportional to 497.51, 743.40 and 379.73 is: 567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.51 : 743.40 = 379.73 : x
  2. Step 2: Convert to fraction form
    497.51/743.40 = 379.73/x
  3. Step 3: Cross multiply
    497.51x = 743.40 × 379.73
  4. Step 4: Simplify right side
    497.51x = 282,291.28
  5. Step 5: Solve for x
    x = 282,291.28/497.51
  6. Step 6: Final answer
    x = 567.41

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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.