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Finding the Fourth Proportional to 575.08, 860.94 and 564.84

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Solution

The fourth proportional to 575.08, 860.94 and 564.84 is: 845.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.08 : 860.94 = 564.84 : x
  2. Step 2: Convert to fraction form
    575.08/860.94 = 564.84/x
  3. Step 3: Cross multiply
    575.08x = 860.94 × 564.84
  4. Step 4: Simplify right side
    575.08x = 486,293.35
  5. Step 5: Solve for x
    x = 486,293.35/575.08
  6. Step 6: Final answer
    x = 845.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.