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Finding the Fourth Proportional to 473.30, 711.31 and 439.35

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Solution

The fourth proportional to 473.30, 711.31 and 439.35 is: 660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 711.31 = 439.35 : x
  2. Step 2: Convert to fraction form
    473.30/711.31 = 439.35/x
  3. Step 3: Cross multiply
    473.30x = 711.31 × 439.35
  4. Step 4: Simplify right side
    473.30x = 312,514.05
  5. Step 5: Solve for x
    x = 312,514.05/473.30
  6. Step 6: Final answer
    x = 660.29

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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.