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Finding the Fourth Proportional to 2,416.65, 3,624.20 and 772.80

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Solution

The fourth proportional to 2,416.65, 3,624.20 and 772.80 is: 1,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.65 : 3,624.20 = 772.80 : x
  2. Step 2: Convert to fraction form
    2,416.65/3,624.20 = 772.80/x
  3. Step 3: Cross multiply
    2,416.65x = 3,624.20 × 772.80
  4. Step 4: Simplify right side
    2,416.65x = 2,800,799.96
  5. Step 5: Solve for x
    x = 2,800,799.96/2,416.65
  6. Step 6: Final answer
    x = 1,158.96

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1.5x scale

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.