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Finding the Fourth Proportional to 471, 649.82 and 291.40

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Solution

The fourth proportional to 471, 649.82 and 291.40 is: 402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 649.82 = 291.40 : x
  2. Step 2: Convert to fraction form
    471/649.82 = 291.40/x
  3. Step 3: Cross multiply
    471x = 649.82 × 291.40
  4. Step 4: Simplify right side
    471x = 189,357.55
  5. Step 5: Solve for x
    x = 189,357.55/471
  6. Step 6: Final answer
    x = 402.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.