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Finding the Fourth Proportional to 590.85, 815.13 and 354.80

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Solution

The fourth proportional to 590.85, 815.13 and 354.80 is: 489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.85 : 815.13 = 354.80 : x
  2. Step 2: Convert to fraction form
    590.85/815.13 = 354.80/x
  3. Step 3: Cross multiply
    590.85x = 815.13 × 354.80
  4. Step 4: Simplify right side
    590.85x = 289,204.05
  5. Step 5: Solve for x
    x = 289,204.05/590.85
  6. Step 6: Final answer
    x = 489.47

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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.