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Finding the Fourth Proportional to 1,490.87, 2,236.41 and 657.99

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Solution

The fourth proportional to 1,490.87, 2,236.41 and 657.99 is: 987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.87 : 2,236.41 = 657.99 : x
  2. Step 2: Convert to fraction form
    1,490.87/2,236.41 = 657.99/x
  3. Step 3: Cross multiply
    1,490.87x = 2,236.41 × 657.99
  4. Step 4: Simplify right side
    1,490.87x = 1,471,535.42
  5. Step 5: Solve for x
    x = 1,471,535.42/1,490.87
  6. Step 6: Final answer
    x = 987.03

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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.