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Finding the Fourth Proportional to 474.61, 654.96 and 309.10

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Solution

The fourth proportional to 474.61, 654.96 and 309.10 is: 426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.61 : 654.96 = 309.10 : x
  2. Step 2: Convert to fraction form
    474.61/654.96 = 309.10/x
  3. Step 3: Cross multiply
    474.61x = 654.96 × 309.10
  4. Step 4: Simplify right side
    474.61x = 202,450.78
  5. Step 5: Solve for x
    x = 202,450.78/474.61
  6. Step 6: Final answer
    x = 426.56

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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.