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Finding the Fourth Proportional to 549.90, 826.28 and 413.82

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Solution

The fourth proportional to 549.90, 826.28 and 413.82 is: 621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.90 : 826.28 = 413.82 : x
  2. Step 2: Convert to fraction form
    549.90/826.28 = 413.82/x
  3. Step 3: Cross multiply
    549.90x = 826.28 × 413.82
  4. Step 4: Simplify right side
    549.90x = 341,931.19
  5. Step 5: Solve for x
    x = 341,931.19/549.90
  6. Step 6: Final answer
    x = 621.81

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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.