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Finding the Fourth Proportional to 570.52, 851.63 and 494.02

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Solution

The fourth proportional to 570.52, 851.63 and 494.02 is: 737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.52 : 851.63 = 494.02 : x
  2. Step 2: Convert to fraction form
    570.52/851.63 = 494.02/x
  3. Step 3: Cross multiply
    570.52x = 851.63 × 494.02
  4. Step 4: Simplify right side
    570.52x = 420,722.25
  5. Step 5: Solve for x
    x = 420,722.25/570.52
  6. Step 6: Final answer
    x = 737.44

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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.