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Finding the Fourth Proportional to 575.87, 859.49 and 497.44

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Solution

The fourth proportional to 575.87, 859.49 and 497.44 is: 742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.87 : 859.49 = 497.44 : x
  2. Step 2: Convert to fraction form
    575.87/859.49 = 497.44/x
  3. Step 3: Cross multiply
    575.87x = 859.49 × 497.44
  4. Step 4: Simplify right side
    575.87x = 427,540.41
  5. Step 5: Solve for x
    x = 427,540.41/575.87
  6. Step 6: Final answer
    x = 742.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.