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Finding the Fourth Proportional to 889.42, 1,226.31 and 731.50

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Solution

The fourth proportional to 889.42, 1,226.31 and 731.50 is: 1,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.42 : 1,226.31 = 731.50 : x
  2. Step 2: Convert to fraction form
    889.42/1,226.31 = 731.50/x
  3. Step 3: Cross multiply
    889.42x = 1,226.31 × 731.50
  4. Step 4: Simplify right side
    889.42x = 897,045.77
  5. Step 5: Solve for x
    x = 897,045.77/889.42
  6. Step 6: Final answer
    x = 1,008.57

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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.