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Finding the Fourth Proportional to 1,435.26, 2,152.98 and 448.22

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Solution

The fourth proportional to 1,435.26, 2,152.98 and 448.22 is: 672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.26 : 2,152.98 = 448.22 : x
  2. Step 2: Convert to fraction form
    1,435.26/2,152.98 = 448.22/x
  3. Step 3: Cross multiply
    1,435.26x = 2,152.98 × 448.22
  4. Step 4: Simplify right side
    1,435.26x = 965,008.02
  5. Step 5: Solve for x
    x = 965,008.02/1,435.26
  6. Step 6: Final answer
    x = 672.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.