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Finding the Fourth Proportional to 888.54, 1,333.08 and 523.10

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Solution

The fourth proportional to 888.54, 1,333.08 and 523.10 is: 784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.54 : 1,333.08 = 523.10 : x
  2. Step 2: Convert to fraction form
    888.54/1,333.08 = 523.10/x
  3. Step 3: Cross multiply
    888.54x = 1,333.08 × 523.10
  4. Step 4: Simplify right side
    888.54x = 697,327.48
  5. Step 5: Solve for x
    x = 697,327.48/888.54
  6. Step 6: Final answer
    x = 784.80

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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.