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Finding the Fourth Proportional to 888.79, 1,226.64 and 557.23

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Solution

The fourth proportional to 888.79, 1,226.64 and 557.23 is: 769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.79 : 1,226.64 = 557.23 : x
  2. Step 2: Convert to fraction form
    888.79/1,226.64 = 557.23/x
  3. Step 3: Cross multiply
    888.79x = 1,226.64 × 557.23
  4. Step 4: Simplify right side
    888.79x = 683,520.61
  5. Step 5: Solve for x
    x = 683,520.61/888.79
  6. Step 6: Final answer
    x = 769.05

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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.