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Finding the Fourth Proportional to 1,053.27, 1,453.64 and 611.07

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Solution

The fourth proportional to 1,053.27, 1,453.64 and 611.07 is: 843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.27 : 1,453.64 = 611.07 : x
  2. Step 2: Convert to fraction form
    1,053.27/1,453.64 = 611.07/x
  3. Step 3: Cross multiply
    1,053.27x = 1,453.64 × 611.07
  4. Step 4: Simplify right side
    1,053.27x = 888,275.79
  5. Step 5: Solve for x
    x = 888,275.79/1,053.27
  6. Step 6: Final answer
    x = 843.35

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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.