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Finding the Fourth Proportional to 497.66, 743.63 and 379.88

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Solution

The fourth proportional to 497.66, 743.63 and 379.88 is: 567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.66 : 743.63 = 379.88 : x
  2. Step 2: Convert to fraction form
    497.66/743.63 = 379.88/x
  3. Step 3: Cross multiply
    497.66x = 743.63 × 379.88
  4. Step 4: Simplify right side
    497.66x = 282,490.16
  5. Step 5: Solve for x
    x = 282,490.16/497.66
  6. Step 6: Final answer
    x = 567.64

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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.