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Finding the Fourth Proportional to 575.19, 859.23 and 517.32

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Solution

The fourth proportional to 575.19, 859.23 and 517.32 is: 772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.19 : 859.23 = 517.32 : x
  2. Step 2: Convert to fraction form
    575.19/859.23 = 517.32/x
  3. Step 3: Cross multiply
    575.19x = 859.23 × 517.32
  4. Step 4: Simplify right side
    575.19x = 444,496.86
  5. Step 5: Solve for x
    x = 444,496.86/575.19
  6. Step 6: Final answer
    x = 772.78

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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.