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Finding the Fourth Proportional to 830.20, 1,244.30 and 570.20

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Solution

The fourth proportional to 830.20, 1,244.30 and 570.20 is: 854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.20 : 1,244.30 = 570.20 : x
  2. Step 2: Convert to fraction form
    830.20/1,244.30 = 570.20/x
  3. Step 3: Cross multiply
    830.20x = 1,244.30 × 570.20
  4. Step 4: Simplify right side
    830.20x = 709,499.86
  5. Step 5: Solve for x
    x = 709,499.86/830.20
  6. Step 6: Final answer
    x = 854.61

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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.