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Finding the Fourth Proportional to 1,053.01, 1,452.99 and 610.83

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Solution

The fourth proportional to 1,053.01, 1,452.99 and 610.83 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.01 : 1,452.99 = 610.83 : x
  2. Step 2: Convert to fraction form
    1,053.01/1,452.99 = 610.83/x
  3. Step 3: Cross multiply
    1,053.01x = 1,452.99 × 610.83
  4. Step 4: Simplify right side
    1,053.01x = 887,529.88
  5. Step 5: Solve for x
    x = 887,529.88/1,053.01
  6. Step 6: Final answer
    x = 842.85

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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.