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Finding the Fourth Proportional to 1,602.25, 2,404.15 and 725.36

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Solution

The fourth proportional to 1,602.25, 2,404.15 and 725.36 is: 1,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.25 : 2,404.15 = 725.36 : x
  2. Step 2: Convert to fraction form
    1,602.25/2,404.15 = 725.36/x
  3. Step 3: Cross multiply
    1,602.25x = 2,404.15 × 725.36
  4. Step 4: Simplify right side
    1,602.25x = 1,743,860.41
  5. Step 5: Solve for x
    x = 1,743,860.41/1,602.25
  6. Step 6: Final answer
    x = 1,088.38

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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.