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Finding the Fourth Proportional to 888.83, 1,224.05 and 869.75

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Solution

The fourth proportional to 888.83, 1,224.05 and 869.75 is: 1,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.83 : 1,224.05 = 869.75 : x
  2. Step 2: Convert to fraction form
    888.83/1,224.05 = 869.75/x
  3. Step 3: Cross multiply
    888.83x = 1,224.05 × 869.75
  4. Step 4: Simplify right side
    888.83x = 1,064,607.02
  5. Step 5: Solve for x
    x = 1,064,607.02/888.83
  6. Step 6: Final answer
    x = 1,197.77

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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.