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Finding the Fourth Proportional to 1,489.47, 2,055.47 and 826.32

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Solution

The fourth proportional to 1,489.47, 2,055.47 and 826.32 is: 1,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.47 : 2,055.47 = 826.32 : x
  2. Step 2: Convert to fraction form
    1,489.47/2,055.47 = 826.32/x
  3. Step 3: Cross multiply
    1,489.47x = 2,055.47 × 826.32
  4. Step 4: Simplify right side
    1,489.47x = 1,698,479.55
  5. Step 5: Solve for x
    x = 1,698,479.55/1,489.47
  6. Step 6: Final answer
    x = 1,140.33

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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.