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Finding the Fourth Proportional to 758.96, 1,140.68 and 629.79

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Solution

The fourth proportional to 758.96, 1,140.68 and 629.79 is: 946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.96 : 1,140.68 = 629.79 : x
  2. Step 2: Convert to fraction form
    758.96/1,140.68 = 629.79/x
  3. Step 3: Cross multiply
    758.96x = 1,140.68 × 629.79
  4. Step 4: Simplify right side
    758.96x = 718,385.71
  5. Step 5: Solve for x
    x = 718,385.71/758.96
  6. Step 6: Final answer
    x = 946.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.