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Finding the Fourth Proportional to 2,005.70, 3,008.64 and 772.68

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Solution

The fourth proportional to 2,005.70, 3,008.64 and 772.68 is: 1,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.70 : 3,008.64 = 772.68 : x
  2. Step 2: Convert to fraction form
    2,005.70/3,008.64 = 772.68/x
  3. Step 3: Cross multiply
    2,005.70x = 3,008.64 × 772.68
  4. Step 4: Simplify right side
    2,005.70x = 2,324,715.96
  5. Step 5: Solve for x
    x = 2,324,715.96/2,005.70
  6. Step 6: Final answer
    x = 1,159.05

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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.