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Finding the Fourth Proportional to 1,053.02, 1,452.53 and 633.24

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Solution

The fourth proportional to 1,053.02, 1,452.53 and 633.24 is: 873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.02 : 1,452.53 = 633.24 : x
  2. Step 2: Convert to fraction form
    1,053.02/1,452.53 = 633.24/x
  3. Step 3: Cross multiply
    1,053.02x = 1,452.53 × 633.24
  4. Step 4: Simplify right side
    1,053.02x = 919,796.93
  5. Step 5: Solve for x
    x = 919,796.93/1,053.02
  6. Step 6: Final answer
    x = 873.49

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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.