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Finding the Fourth Proportional to 590.96, 815.51 and 325.42

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Solution

The fourth proportional to 590.96, 815.51 and 325.42 is: 449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.96 : 815.51 = 325.42 : x
  2. Step 2: Convert to fraction form
    590.96/815.51 = 325.42/x
  3. Step 3: Cross multiply
    590.96x = 815.51 × 325.42
  4. Step 4: Simplify right side
    590.96x = 265,382.04
  5. Step 5: Solve for x
    x = 265,382.04/590.96
  6. Step 6: Final answer
    x = 449.07

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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.