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Finding the Fourth Proportional to 1,489.53, 2,054.59 and 958.23

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Solution

The fourth proportional to 1,489.53, 2,054.59 and 958.23 is: 1,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.53 : 2,054.59 = 958.23 : x
  2. Step 2: Convert to fraction form
    1,489.53/2,054.59 = 958.23/x
  3. Step 3: Cross multiply
    1,489.53x = 2,054.59 × 958.23
  4. Step 4: Simplify right side
    1,489.53x = 1,968,769.78
  5. Step 5: Solve for x
    x = 1,968,769.78/1,489.53
  6. Step 6: Final answer
    x = 1,321.74

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1.5x scale

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.