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Finding the Fourth Proportional to 1,053.03, 1,453.05 and 610.77

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Solution

The fourth proportional to 1,053.03, 1,453.05 and 610.77 is: 842.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.03 : 1,453.05 = 610.77 : x
  2. Step 2: Convert to fraction form
    1,053.03/1,453.05 = 610.77/x
  3. Step 3: Cross multiply
    1,053.03x = 1,453.05 × 610.77
  4. Step 4: Simplify right side
    1,053.03x = 887,479.35
  5. Step 5: Solve for x
    x = 887,479.35/1,053.03
  6. Step 6: Final answer
    x = 842.79

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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.