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Finding the Fourth Proportional to 1,328.91, 1,994.27 and 463.22

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Solution

The fourth proportional to 1,328.91, 1,994.27 and 463.22 is: 695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.91 : 1,994.27 = 463.22 : x
  2. Step 2: Convert to fraction form
    1,328.91/1,994.27 = 463.22/x
  3. Step 3: Cross multiply
    1,328.91x = 1,994.27 × 463.22
  4. Step 4: Simplify right side
    1,328.91x = 923,783.55
  5. Step 5: Solve for x
    x = 923,783.55/1,328.91
  6. Step 6: Final answer
    x = 695.15

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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.