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Finding the Fourth Proportional to 425.64, 589.89 and 413.22

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Solution

The fourth proportional to 425.64, 589.89 and 413.22 is: 572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.64 : 589.89 = 413.22 : x
  2. Step 2: Convert to fraction form
    425.64/589.89 = 413.22/x
  3. Step 3: Cross multiply
    425.64x = 589.89 × 413.22
  4. Step 4: Simplify right side
    425.64x = 243,754.35
  5. Step 5: Solve for x
    x = 243,754.35/425.64
  6. Step 6: Final answer
    x = 572.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.