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Finding the Fourth Proportional to 1,458.43, 2,011.73 and 891.01

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Solution

The fourth proportional to 1,458.43, 2,011.73 and 891.01 is: 1,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.43 : 2,011.73 = 891.01 : x
  2. Step 2: Convert to fraction form
    1,458.43/2,011.73 = 891.01/x
  3. Step 3: Cross multiply
    1,458.43x = 2,011.73 × 891.01
  4. Step 4: Simplify right side
    1,458.43x = 1,792,471.55
  5. Step 5: Solve for x
    x = 1,792,471.55/1,458.43
  6. Step 6: Final answer
    x = 1,229.04

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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.