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Finding the Fourth Proportional to 590.61, 815.05 and 325.06

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Solution

The fourth proportional to 590.61, 815.05 and 325.06 is: 448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.61 : 815.05 = 325.06 : x
  2. Step 2: Convert to fraction form
    590.61/815.05 = 325.06/x
  3. Step 3: Cross multiply
    590.61x = 815.05 × 325.06
  4. Step 4: Simplify right side
    590.61x = 264,942.60
  5. Step 5: Solve for x
    x = 264,942.60/590.61
  6. Step 6: Final answer
    x = 448.59

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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.