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Finding the Fourth Proportional to 501.22, 691.57 and 291.35

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Solution

The fourth proportional to 501.22, 691.57 and 291.35 is: 401.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.22 : 691.57 = 291.35 : x
  2. Step 2: Convert to fraction form
    501.22/691.57 = 291.35/x
  3. Step 3: Cross multiply
    501.22x = 691.57 × 291.35
  4. Step 4: Simplify right side
    501.22x = 201,487.12
  5. Step 5: Solve for x
    x = 201,487.12/501.22
  6. Step 6: Final answer
    x = 401.99

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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.