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Finding the Fourth Proportional to 888.56, 1,333.16 and 546.80

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Solution

The fourth proportional to 888.56, 1,333.16 and 546.80 is: 820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.56 : 1,333.16 = 546.80 : x
  2. Step 2: Convert to fraction form
    888.56/1,333.16 = 546.80/x
  3. Step 3: Cross multiply
    888.56x = 1,333.16 × 546.80
  4. Step 4: Simplify right side
    888.56x = 728,971.89
  5. Step 5: Solve for x
    x = 728,971.89/888.56
  6. Step 6: Final answer
    x = 820.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.