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Finding the Fourth Proportional to 888.59, 1,332.89 and 821.63

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Solution

The fourth proportional to 888.59, 1,332.89 and 821.63 is: 1,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.59 : 1,332.89 = 821.63 : x
  2. Step 2: Convert to fraction form
    888.59/1,332.89 = 821.63/x
  3. Step 3: Cross multiply
    888.59x = 1,332.89 × 821.63
  4. Step 4: Simplify right side
    888.59x = 1,095,131.64
  5. Step 5: Solve for x
    x = 1,095,131.64/888.59
  6. Step 6: Final answer
    x = 1,232.44

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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.