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Finding the Fourth Proportional to 2,416.23, 3,624.57 and 772.39

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Solution

The fourth proportional to 2,416.23, 3,624.57 and 772.39 is: 1,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.23 : 3,624.57 = 772.39 : x
  2. Step 2: Convert to fraction form
    2,416.23/3,624.57 = 772.39/x
  3. Step 3: Cross multiply
    2,416.23x = 3,624.57 × 772.39
  4. Step 4: Simplify right side
    2,416.23x = 2,799,567.94
  5. Step 5: Solve for x
    x = 2,799,567.94/2,416.23
  6. Step 6: Final answer
    x = 1,158.65

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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.