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Finding the Fourth Proportional to 594.30, 820.10 and 328.72

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Solution

The fourth proportional to 594.30, 820.10 and 328.72 is: 453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.30 : 820.10 = 328.72 : x
  2. Step 2: Convert to fraction form
    594.30/820.10 = 328.72/x
  3. Step 3: Cross multiply
    594.30x = 820.10 × 328.72
  4. Step 4: Simplify right side
    594.30x = 269,584.20
  5. Step 5: Solve for x
    x = 269,584.20/594.30
  6. Step 6: Final answer
    x = 453.62

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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.