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Finding the Fourth Proportional to 1,043.73, 1,438.35 and 748.50

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Solution

The fourth proportional to 1,043.73, 1,438.35 and 748.50 is: 1,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.73 : 1,438.35 = 748.50 : x
  2. Step 2: Convert to fraction form
    1,043.73/1,438.35 = 748.50/x
  3. Step 3: Cross multiply
    1,043.73x = 1,438.35 × 748.50
  4. Step 4: Simplify right side
    1,043.73x = 1,076,604.98
  5. Step 5: Solve for x
    x = 1,076,604.98/1,043.73
  6. Step 6: Final answer
    x = 1,031.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.