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Finding the Fourth Proportional to 1,490.55, 2,057.25 and 951.84

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Solution

The fourth proportional to 1,490.55, 2,057.25 and 951.84 is: 1,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.55 : 2,057.25 = 951.84 : x
  2. Step 2: Convert to fraction form
    1,490.55/2,057.25 = 951.84/x
  3. Step 3: Cross multiply
    1,490.55x = 2,057.25 × 951.84
  4. Step 4: Simplify right side
    1,490.55x = 1,958,172.84
  5. Step 5: Solve for x
    x = 1,958,172.84/1,490.55
  6. Step 6: Final answer
    x = 1,313.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.