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Finding the Fourth Proportional to 1,401.63, 2,102.46 and 477.21

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Solution

The fourth proportional to 1,401.63, 2,102.46 and 477.21 is: 715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.63 : 2,102.46 = 477.21 : x
  2. Step 2: Convert to fraction form
    1,401.63/2,102.46 = 477.21/x
  3. Step 3: Cross multiply
    1,401.63x = 2,102.46 × 477.21
  4. Step 4: Simplify right side
    1,401.63x = 1,003,314.94
  5. Step 5: Solve for x
    x = 1,003,314.94/1,401.63
  6. Step 6: Final answer
    x = 715.82

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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.