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Finding the Fourth Proportional to 535.32, 739.04 and 442.32

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Solution

The fourth proportional to 535.32, 739.04 and 442.32 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.32 : 739.04 = 442.32 : x
  2. Step 2: Convert to fraction form
    535.32/739.04 = 442.32/x
  3. Step 3: Cross multiply
    535.32x = 739.04 × 442.32
  4. Step 4: Simplify right side
    535.32x = 326,892.17
  5. Step 5: Solve for x
    x = 326,892.17/535.32
  6. Step 6: Final answer
    x = 610.65

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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.