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Finding the Fourth Proportional to 888.70, 1,225.71 and 772.06

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Solution

The fourth proportional to 888.70, 1,225.71 and 772.06 is: 1,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.70 : 1,225.71 = 772.06 : x
  2. Step 2: Convert to fraction form
    888.70/1,225.71 = 772.06/x
  3. Step 3: Cross multiply
    888.70x = 1,225.71 × 772.06
  4. Step 4: Simplify right side
    888.70x = 946,321.66
  5. Step 5: Solve for x
    x = 946,321.66/888.70
  6. Step 6: Final answer
    x = 1,064.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.