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Finding the Fourth Proportional to 1,722.38, 2,583.58 and 957.74

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Solution

The fourth proportional to 1,722.38, 2,583.58 and 957.74 is: 1,436.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.38 : 2,583.58 = 957.74 : x
  2. Step 2: Convert to fraction form
    1,722.38/2,583.58 = 957.74/x
  3. Step 3: Cross multiply
    1,722.38x = 2,583.58 × 957.74
  4. Step 4: Simplify right side
    1,722.38x = 2,474,397.91
  5. Step 5: Solve for x
    x = 2,474,397.91/1,722.38
  6. Step 6: Final answer
    x = 1,436.62

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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.