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Finding the Fourth Proportional to 590.26, 814.88 and 413.76

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Solution

The fourth proportional to 590.26, 814.88 and 413.76 is: 571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.26 : 814.88 = 413.76 : x
  2. Step 2: Convert to fraction form
    590.26/814.88 = 413.76/x
  3. Step 3: Cross multiply
    590.26x = 814.88 × 413.76
  4. Step 4: Simplify right side
    590.26x = 337,162.68
  5. Step 5: Solve for x
    x = 337,162.68/590.26
  6. Step 6: Final answer
    x = 571.21

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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.