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Finding the Fourth Proportional to 474.08, 654.30 and 287.69

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Solution

The fourth proportional to 474.08, 654.30 and 287.69 is: 397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 654.30 = 287.69 : x
  2. Step 2: Convert to fraction form
    474.08/654.30 = 287.69/x
  3. Step 3: Cross multiply
    474.08x = 654.30 × 287.69
  4. Step 4: Simplify right side
    474.08x = 188,232.30
  5. Step 5: Solve for x
    x = 188,232.30/474.08
  6. Step 6: Final answer
    x = 397.05

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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.