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Finding the Fourth Proportional to 1,453.25, 2,005.50 and 790.11

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Solution

The fourth proportional to 1,453.25, 2,005.50 and 790.11 is: 1,090.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.25 : 2,005.50 = 790.11 : x
  2. Step 2: Convert to fraction form
    1,453.25/2,005.50 = 790.11/x
  3. Step 3: Cross multiply
    1,453.25x = 2,005.50 × 790.11
  4. Step 4: Simplify right side
    1,453.25x = 1,584,565.61
  5. Step 5: Solve for x
    x = 1,584,565.61/1,453.25
  6. Step 6: Final answer
    x = 1,090.36

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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.