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Finding the Fourth Proportional to 1,436.97, 2,155.66 and 463.28

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Solution

The fourth proportional to 1,436.97, 2,155.66 and 463.28 is: 694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.97 : 2,155.66 = 463.28 : x
  2. Step 2: Convert to fraction form
    1,436.97/2,155.66 = 463.28/x
  3. Step 3: Cross multiply
    1,436.97x = 2,155.66 × 463.28
  4. Step 4: Simplify right side
    1,436.97x = 998,674.16
  5. Step 5: Solve for x
    x = 998,674.16/1,436.97
  6. Step 6: Final answer
    x = 694.99

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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.