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Finding the Fourth Proportional to 759.75, 1,139.65 and 211.93

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Solution

The fourth proportional to 759.75, 1,139.65 and 211.93 is: 317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.75 : 1,139.65 = 211.93 : x
  2. Step 2: Convert to fraction form
    759.75/1,139.65 = 211.93/x
  3. Step 3: Cross multiply
    759.75x = 1,139.65 × 211.93
  4. Step 4: Simplify right side
    759.75x = 241,526.02
  5. Step 5: Solve for x
    x = 241,526.02/759.75
  6. Step 6: Final answer
    x = 317.90

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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.