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Finding the Fourth Proportional to 473.31, 706.25 and 418.64

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Solution

The fourth proportional to 473.31, 706.25 and 418.64 is: 624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.31 : 706.25 = 418.64 : x
  2. Step 2: Convert to fraction form
    473.31/706.25 = 418.64/x
  3. Step 3: Cross multiply
    473.31x = 706.25 × 418.64
  4. Step 4: Simplify right side
    473.31x = 295,662.02
  5. Step 5: Solve for x
    x = 295,662.02/473.31
  6. Step 6: Final answer
    x = 624.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.