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Finding the Fourth Proportional to 1,053.35, 1,452.25 and 721.19

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Solution

The fourth proportional to 1,053.35, 1,452.25 and 721.19 is: 994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.35 : 1,452.25 = 721.19 : x
  2. Step 2: Convert to fraction form
    1,053.35/1,452.25 = 721.19/x
  3. Step 3: Cross multiply
    1,053.35x = 1,452.25 × 721.19
  4. Step 4: Simplify right side
    1,053.35x = 1,047,350.01
  5. Step 5: Solve for x
    x = 1,047,350.01/1,053.35
  6. Step 6: Final answer
    x = 994.31

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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.