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Finding the Fourth Proportional to 757.90, 1,050.29 and 743.32

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Solution

The fourth proportional to 757.90, 1,050.29 and 743.32 is: 1,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.90 : 1,050.29 = 743.32 : x
  2. Step 2: Convert to fraction form
    757.90/1,050.29 = 743.32/x
  3. Step 3: Cross multiply
    757.90x = 1,050.29 × 743.32
  4. Step 4: Simplify right side
    757.90x = 780,701.56
  5. Step 5: Solve for x
    x = 780,701.56/757.90
  6. Step 6: Final answer
    x = 1,030.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.