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Finding the Fourth Proportional to 473.78, 709.46 and 400.88

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Solution

The fourth proportional to 473.78, 709.46 and 400.88 is: 600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.78 : 709.46 = 400.88 : x
  2. Step 2: Convert to fraction form
    473.78/709.46 = 400.88/x
  3. Step 3: Cross multiply
    473.78x = 709.46 × 400.88
  4. Step 4: Simplify right side
    473.78x = 284,409.60
  5. Step 5: Solve for x
    x = 284,409.60/473.78
  6. Step 6: Final answer
    x = 600.30

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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.