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Finding the Fourth Proportional to 1,602.68, 2,404.02 and 448.43

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Solution

The fourth proportional to 1,602.68, 2,404.02 and 448.43 is: 672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.68 : 2,404.02 = 448.43 : x
  2. Step 2: Convert to fraction form
    1,602.68/2,404.02 = 448.43/x
  3. Step 3: Cross multiply
    1,602.68x = 2,404.02 × 448.43
  4. Step 4: Simplify right side
    1,602.68x = 1,078,022.67
  5. Step 5: Solve for x
    x = 1,078,022.67/1,602.68
  6. Step 6: Final answer
    x = 672.64

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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.