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Finding the Fourth Proportional to 888.53, 1,333.10 and 522.88

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Solution

The fourth proportional to 888.53, 1,333.10 and 522.88 is: 784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.53 : 1,333.10 = 522.88 : x
  2. Step 2: Convert to fraction form
    888.53/1,333.10 = 522.88/x
  3. Step 3: Cross multiply
    888.53x = 1,333.10 × 522.88
  4. Step 4: Simplify right side
    888.53x = 697,049.30
  5. Step 5: Solve for x
    x = 697,049.30/888.53
  6. Step 6: Final answer
    x = 784.50

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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.