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Finding the Fourth Proportional to 2,416.58, 3,624.90 and 685.20

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Solution

The fourth proportional to 2,416.58, 3,624.90 and 685.20 is: 1,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.58 : 3,624.90 = 685.20 : x
  2. Step 2: Convert to fraction form
    2,416.58/3,624.90 = 685.20/x
  3. Step 3: Cross multiply
    2,416.58x = 3,624.90 × 685.20
  4. Step 4: Simplify right side
    2,416.58x = 2,483,781.48
  5. Step 5: Solve for x
    x = 2,483,781.48/2,416.58
  6. Step 6: Final answer
    x = 1,027.81

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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.