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Finding the Fourth Proportional to 474, 709.32 and 291.12

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Solution

The fourth proportional to 474, 709.32 and 291.12 is: 435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 709.32 = 291.12 : x
  2. Step 2: Convert to fraction form
    474/709.32 = 291.12/x
  3. Step 3: Cross multiply
    474x = 709.32 × 291.12
  4. Step 4: Simplify right side
    474x = 206,497.24
  5. Step 5: Solve for x
    x = 206,497.24/474
  6. Step 6: Final answer
    x = 435.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.