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Finding the Fourth Proportional to 759.62, 1,050.90 and 628.40

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Solution

The fourth proportional to 759.62, 1,050.90 and 628.40 is: 869.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.62 : 1,050.90 = 628.40 : x
  2. Step 2: Convert to fraction form
    759.62/1,050.90 = 628.40/x
  3. Step 3: Cross multiply
    759.62x = 1,050.90 × 628.40
  4. Step 4: Simplify right side
    759.62x = 660,385.56
  5. Step 5: Solve for x
    x = 660,385.56/759.62
  6. Step 6: Final answer
    x = 869.36

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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.