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Finding the Fourth Proportional to 474.01, 709.98 and 290.85

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Solution

The fourth proportional to 474.01, 709.98 and 290.85 is: 435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.01 : 709.98 = 290.85 : x
  2. Step 2: Convert to fraction form
    474.01/709.98 = 290.85/x
  3. Step 3: Cross multiply
    474.01x = 709.98 × 290.85
  4. Step 4: Simplify right side
    474.01x = 206,497.68
  5. Step 5: Solve for x
    x = 206,497.68/474.01
  6. Step 6: Final answer
    x = 435.64

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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.