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Finding the Fourth Proportional to 574.60, 860.76 and 266.04

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Solution

The fourth proportional to 574.60, 860.76 and 266.04 is: 398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.60 : 860.76 = 266.04 : x
  2. Step 2: Convert to fraction form
    574.60/860.76 = 266.04/x
  3. Step 3: Cross multiply
    574.60x = 860.76 × 266.04
  4. Step 4: Simplify right side
    574.60x = 228,996.59
  5. Step 5: Solve for x
    x = 228,996.59/574.60
  6. Step 6: Final answer
    x = 398.53

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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.