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Finding the Fourth Proportional to 473.25, 654.30 and 452.85

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Solution

The fourth proportional to 473.25, 654.30 and 452.85 is: 626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.25 : 654.30 = 452.85 : x
  2. Step 2: Convert to fraction form
    473.25/654.30 = 452.85/x
  3. Step 3: Cross multiply
    473.25x = 654.30 × 452.85
  4. Step 4: Simplify right side
    473.25x = 296,299.76
  5. Step 5: Solve for x
    x = 296,299.76/473.25
  6. Step 6: Final answer
    x = 626.10

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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.