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Finding the Fourth Proportional to 445.12, 614.88 and 423.52

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Solution

The fourth proportional to 445.12, 614.88 and 423.52 is: 585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.12 : 614.88 = 423.52 : x
  2. Step 2: Convert to fraction form
    445.12/614.88 = 423.52/x
  3. Step 3: Cross multiply
    445.12x = 614.88 × 423.52
  4. Step 4: Simplify right side
    445.12x = 260,413.98
  5. Step 5: Solve for x
    x = 260,413.98/445.12
  6. Step 6: Final answer
    x = 585.04

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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.