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Finding the Fourth Proportional to 438.10, 659.80 and 413.80

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Solution

The fourth proportional to 438.10, 659.80 and 413.80 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.10 : 659.80 = 413.80 : x
  2. Step 2: Convert to fraction form
    438.10/659.80 = 413.80/x
  3. Step 3: Cross multiply
    438.10x = 659.80 × 413.80
  4. Step 4: Simplify right side
    438.10x = 273,025.24
  5. Step 5: Solve for x
    x = 273,025.24/438.10
  6. Step 6: Final answer
    x = 623.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.