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Finding the Fourth Proportional to 590.92, 815.47 and 355

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Solution

The fourth proportional to 590.92, 815.47 and 355 is: 489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.92 : 815.47 = 355 : x
  2. Step 2: Convert to fraction form
    590.92/815.47 = 355/x
  3. Step 3: Cross multiply
    590.92x = 815.47 × 355
  4. Step 4: Simplify right side
    590.92x = 289,491.85
  5. Step 5: Solve for x
    x = 289,491.85/590.92
  6. Step 6: Final answer
    x = 489.90

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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.