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Finding the Fourth Proportional to 1,490.53, 2,055.97 and 959.23

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Solution

The fourth proportional to 1,490.53, 2,055.97 and 959.23 is: 1,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.53 : 2,055.97 = 959.23 : x
  2. Step 2: Convert to fraction form
    1,490.53/2,055.97 = 959.23/x
  3. Step 3: Cross multiply
    1,490.53x = 2,055.97 × 959.23
  4. Step 4: Simplify right side
    1,490.53x = 1,972,148.10
  5. Step 5: Solve for x
    x = 1,972,148.10/1,490.53
  6. Step 6: Final answer
    x = 1,323.12

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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.