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Finding the Fourth Proportional to 1,053.46, 1,450.47 and 866.35

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Solution

The fourth proportional to 1,053.46, 1,450.47 and 866.35 is: 1,192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.46 : 1,450.47 = 866.35 : x
  2. Step 2: Convert to fraction form
    1,053.46/1,450.47 = 866.35/x
  3. Step 3: Cross multiply
    1,053.46x = 1,450.47 × 866.35
  4. Step 4: Simplify right side
    1,053.46x = 1,256,614.68
  5. Step 5: Solve for x
    x = 1,256,614.68/1,053.46
  6. Step 6: Final answer
    x = 1,192.85

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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.