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Finding the Fourth Proportional to 1,498.48, 2,246.20 and 573.80

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Solution

The fourth proportional to 1,498.48, 2,246.20 and 573.80 is: 860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.48 : 2,246.20 = 573.80 : x
  2. Step 2: Convert to fraction form
    1,498.48/2,246.20 = 573.80/x
  3. Step 3: Cross multiply
    1,498.48x = 2,246.20 × 573.80
  4. Step 4: Simplify right side
    1,498.48x = 1,288,869.56
  5. Step 5: Solve for x
    x = 1,288,869.56/1,498.48
  6. Step 6: Final answer
    x = 860.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.