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Finding the Fourth Proportional to 543.64, 814.08 and 413.74

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Solution

The fourth proportional to 543.64, 814.08 and 413.74 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.64 : 814.08 = 413.74 : x
  2. Step 2: Convert to fraction form
    543.64/814.08 = 413.74/x
  3. Step 3: Cross multiply
    543.64x = 814.08 × 413.74
  4. Step 4: Simplify right side
    543.64x = 336,817.46
  5. Step 5: Solve for x
    x = 336,817.46/543.64
  6. Step 6: Final answer
    x = 619.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.