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Finding the Fourth Proportional to 888.12, 1,224.72 and 777.24

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Solution

The fourth proportional to 888.12, 1,224.72 and 777.24 is: 1,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.12 : 1,224.72 = 777.24 : x
  2. Step 2: Convert to fraction form
    888.12/1,224.72 = 777.24/x
  3. Step 3: Cross multiply
    888.12x = 1,224.72 × 777.24
  4. Step 4: Simplify right side
    888.12x = 951,901.37
  5. Step 5: Solve for x
    x = 951,901.37/888.12
  6. Step 6: Final answer
    x = 1,071.82

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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.