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Finding the Fourth Proportional to 1,044.50, 1,441.40 and 746.31

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Solution

The fourth proportional to 1,044.50, 1,441.40 and 746.31 is: 1,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.50 : 1,441.40 = 746.31 : x
  2. Step 2: Convert to fraction form
    1,044.50/1,441.40 = 746.31/x
  3. Step 3: Cross multiply
    1,044.50x = 1,441.40 × 746.31
  4. Step 4: Simplify right side
    1,044.50x = 1,075,732.91
  5. Step 5: Solve for x
    x = 1,075,732.91/1,044.50
  6. Step 6: Final answer
    x = 1,029.91

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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.