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Finding the Fourth Proportional to 590.95, 815.50 and 325.39

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Solution

The fourth proportional to 590.95, 815.50 and 325.39 is: 449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.95 : 815.50 = 325.39 : x
  2. Step 2: Convert to fraction form
    590.95/815.50 = 325.39/x
  3. Step 3: Cross multiply
    590.95x = 815.50 × 325.39
  4. Step 4: Simplify right side
    590.95x = 265,353.09
  5. Step 5: Solve for x
    x = 265,353.09/590.95
  6. Step 6: Final answer
    x = 449.03

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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.