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Finding the Fourth Proportional to 570.12, 851.91 and 499.80

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Solution

The fourth proportional to 570.12, 851.91 and 499.80 is: 746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.12 : 851.91 = 499.80 : x
  2. Step 2: Convert to fraction form
    570.12/851.91 = 499.80/x
  3. Step 3: Cross multiply
    570.12x = 851.91 × 499.80
  4. Step 4: Simplify right side
    570.12x = 425,784.62
  5. Step 5: Solve for x
    x = 425,784.62/570.12
  6. Step 6: Final answer
    x = 746.83

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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.