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Finding the Fourth Proportional to 931.99, 1,399.44 and 803.44

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Solution

The fourth proportional to 931.99, 1,399.44 and 803.44 is: 1,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.99 : 1,399.44 = 803.44 : x
  2. Step 2: Convert to fraction form
    931.99/1,399.44 = 803.44/x
  3. Step 3: Cross multiply
    931.99x = 1,399.44 × 803.44
  4. Step 4: Simplify right side
    931.99x = 1,124,366.07
  5. Step 5: Solve for x
    x = 1,124,366.07/931.99
  6. Step 6: Final answer
    x = 1,206.41

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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.