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Finding the Fourth Proportional to 1,401.87, 2,102.81 and 524.34

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Solution

The fourth proportional to 1,401.87, 2,102.81 and 524.34 is: 786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.87 : 2,102.81 = 524.34 : x
  2. Step 2: Convert to fraction form
    1,401.87/2,102.81 = 524.34/x
  3. Step 3: Cross multiply
    1,401.87x = 2,102.81 × 524.34
  4. Step 4: Simplify right side
    1,401.87x = 1,102,584.77
  5. Step 5: Solve for x
    x = 1,102,584.77/1,401.87
  6. Step 6: Final answer
    x = 786.51

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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.