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Finding the Fourth Proportional to 442.26, 612.77 and 432.54

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Solution

The fourth proportional to 442.26, 612.77 and 432.54 is: 599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.26 : 612.77 = 432.54 : x
  2. Step 2: Convert to fraction form
    442.26/612.77 = 432.54/x
  3. Step 3: Cross multiply
    442.26x = 612.77 × 432.54
  4. Step 4: Simplify right side
    442.26x = 265,045.37
  5. Step 5: Solve for x
    x = 265,045.37/442.26
  6. Step 6: Final answer
    x = 599.30

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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.