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Finding the Fourth Proportional to 1,435.96, 2,153.40 and 448.66

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Solution

The fourth proportional to 1,435.96, 2,153.40 and 448.66 is: 672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.96 : 2,153.40 = 448.66 : x
  2. Step 2: Convert to fraction form
    1,435.96/2,153.40 = 448.66/x
  3. Step 3: Cross multiply
    1,435.96x = 2,153.40 × 448.66
  4. Step 4: Simplify right side
    1,435.96x = 966,144.44
  5. Step 5: Solve for x
    x = 966,144.44/1,435.96
  6. Step 6: Final answer
    x = 672.82

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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.