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Finding the Fourth Proportional to 939.99, 1,297.29 and 678.15

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Solution

The fourth proportional to 939.99, 1,297.29 and 678.15 is: 935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.99 : 1,297.29 = 678.15 : x
  2. Step 2: Convert to fraction form
    939.99/1,297.29 = 678.15/x
  3. Step 3: Cross multiply
    939.99x = 1,297.29 × 678.15
  4. Step 4: Simplify right side
    939.99x = 879,757.21
  5. Step 5: Solve for x
    x = 879,757.21/939.99
  6. Step 6: Final answer
    x = 935.92

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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.