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Finding the Fourth Proportional to 570.92, 851.74 and 517.87

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Solution

The fourth proportional to 570.92, 851.74 and 517.87 is: 772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.92 : 851.74 = 517.87 : x
  2. Step 2: Convert to fraction form
    570.92/851.74 = 517.87/x
  3. Step 3: Cross multiply
    570.92x = 851.74 × 517.87
  4. Step 4: Simplify right side
    570.92x = 441,090.59
  5. Step 5: Solve for x
    x = 441,090.59/570.92
  6. Step 6: Final answer
    x = 772.60

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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.