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Finding the Fourth Proportional to 939.17, 1,406.23 and 765.12

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Solution

The fourth proportional to 939.17, 1,406.23 and 765.12 is: 1,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.17 : 1,406.23 = 765.12 : x
  2. Step 2: Convert to fraction form
    939.17/1,406.23 = 765.12/x
  3. Step 3: Cross multiply
    939.17x = 1,406.23 × 765.12
  4. Step 4: Simplify right side
    939.17x = 1,075,932.78
  5. Step 5: Solve for x
    x = 1,075,932.78/939.17
  6. Step 6: Final answer
    x = 1,145.63

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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.