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Finding the Fourth Proportional to 574.53, 860.77 and 471.66

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Solution

The fourth proportional to 574.53, 860.77 and 471.66 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.53 : 860.77 = 471.66 : x
  2. Step 2: Convert to fraction form
    574.53/860.77 = 471.66/x
  3. Step 3: Cross multiply
    574.53x = 860.77 × 471.66
  4. Step 4: Simplify right side
    574.53x = 405,990.78
  5. Step 5: Solve for x
    x = 405,990.78/574.53
  6. Step 6: Final answer
    x = 706.65

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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.