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Finding the Fourth Proportional to 1,053.14, 1,452.62 and 633.22

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Solution

The fourth proportional to 1,053.14, 1,452.62 and 633.22 is: 873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.14 : 1,452.62 = 633.22 : x
  2. Step 2: Convert to fraction form
    1,053.14/1,452.62 = 633.22/x
  3. Step 3: Cross multiply
    1,053.14x = 1,452.62 × 633.22
  4. Step 4: Simplify right side
    1,053.14x = 919,825.99
  5. Step 5: Solve for x
    x = 919,825.99/1,053.14
  6. Step 6: Final answer
    x = 873.42

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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.