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Finding the Fourth Proportional to 501.09, 691.39 and 291.14

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Solution

The fourth proportional to 501.09, 691.39 and 291.14 is: 401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.09 : 691.39 = 291.14 : x
  2. Step 2: Convert to fraction form
    501.09/691.39 = 291.14/x
  3. Step 3: Cross multiply
    501.09x = 691.39 × 291.14
  4. Step 4: Simplify right side
    501.09x = 201,291.28
  5. Step 5: Solve for x
    x = 201,291.28/501.09
  6. Step 6: Final answer
    x = 401.71

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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.