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Finding the Fourth Proportional to 781.00, 1,162.99 and 772.37

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Solution

The fourth proportional to 781.00, 1,162.99 and 772.37 is: 1,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.00 : 1,162.99 = 772.37 : x
  2. Step 2: Convert to fraction form
    781.00/1,162.99 = 772.37/x
  3. Step 3: Cross multiply
    781.00x = 1,162.99 × 772.37
  4. Step 4: Simplify right side
    781.00x = 898,250.84
  5. Step 5: Solve for x
    x = 898,250.84/781.00
  6. Step 6: Final answer
    x = 1,150.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.