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Finding the Fourth Proportional to 2,401.63, 3,602.58 and 670.39

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Solution

The fourth proportional to 2,401.63, 3,602.58 and 670.39 is: 1,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.63 : 3,602.58 = 670.39 : x
  2. Step 2: Convert to fraction form
    2,401.63/3,602.58 = 670.39/x
  3. Step 3: Cross multiply
    2,401.63x = 3,602.58 × 670.39
  4. Step 4: Simplify right side
    2,401.63x = 2,415,112.24
  5. Step 5: Solve for x
    x = 2,415,112.24/2,401.63
  6. Step 6: Final answer
    x = 1,005.62

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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.