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Finding the Fourth Proportional to 590.69, 815.20 and 328.73

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Solution

The fourth proportional to 590.69, 815.20 and 328.73 is: 453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.69 : 815.20 = 328.73 : x
  2. Step 2: Convert to fraction form
    590.69/815.20 = 328.73/x
  3. Step 3: Cross multiply
    590.69x = 815.20 × 328.73
  4. Step 4: Simplify right side
    590.69x = 267,976.62
  5. Step 5: Solve for x
    x = 267,976.62/590.69
  6. Step 6: Final answer
    x = 453.67

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Double scale
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1.5x scale

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.