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Finding the Fourth Proportional to 1,602.39, 2,401.71 and 723.87

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Solution

The fourth proportional to 1,602.39, 2,401.71 and 723.87 is: 1,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.39 : 2,401.71 = 723.87 : x
  2. Step 2: Convert to fraction form
    1,602.39/2,401.71 = 723.87/x
  3. Step 3: Cross multiply
    1,602.39x = 2,401.71 × 723.87
  4. Step 4: Simplify right side
    1,602.39x = 1,738,523.10
  5. Step 5: Solve for x
    x = 1,738,523.10/1,602.39
  6. Step 6: Final answer
    x = 1,084.95

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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.