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Finding the Fourth Proportional to 570.42, 851.04 and 518.46

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Solution

The fourth proportional to 570.42, 851.04 and 518.46 is: 773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 851.04 = 518.46 : x
  2. Step 2: Convert to fraction form
    570.42/851.04 = 518.46/x
  3. Step 3: Cross multiply
    570.42x = 851.04 × 518.46
  4. Step 4: Simplify right side
    570.42x = 441,230.20
  5. Step 5: Solve for x
    x = 441,230.20/570.42
  6. Step 6: Final answer
    x = 773.52

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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.