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Finding the Fourth Proportional to 1,247.81, 1,871.57 and 784.22

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Solution

The fourth proportional to 1,247.81, 1,871.57 and 784.22 is: 1,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.81 : 1,871.57 = 784.22 : x
  2. Step 2: Convert to fraction form
    1,247.81/1,871.57 = 784.22/x
  3. Step 3: Cross multiply
    1,247.81x = 1,871.57 × 784.22
  4. Step 4: Simplify right side
    1,247.81x = 1,467,729.26
  5. Step 5: Solve for x
    x = 1,467,729.26/1,247.81
  6. Step 6: Final answer
    x = 1,176.24

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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.