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Finding the Fourth Proportional to 501.02, 691.43 and 291.12

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Solution

The fourth proportional to 501.02, 691.43 and 291.12 is: 401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.02 : 691.43 = 291.12 : x
  2. Step 2: Convert to fraction form
    501.02/691.43 = 291.12/x
  3. Step 3: Cross multiply
    501.02x = 691.43 × 291.12
  4. Step 4: Simplify right side
    501.02x = 201,289.10
  5. Step 5: Solve for x
    x = 201,289.10/501.02
  6. Step 6: Final answer
    x = 401.76

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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.