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Finding the Fourth Proportional to 1,656.63, 2,286.21 and 910.61

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Solution

The fourth proportional to 1,656.63, 2,286.21 and 910.61 is: 1,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.63 : 2,286.21 = 910.61 : x
  2. Step 2: Convert to fraction form
    1,656.63/2,286.21 = 910.61/x
  3. Step 3: Cross multiply
    1,656.63x = 2,286.21 × 910.61
  4. Step 4: Simplify right side
    1,656.63x = 2,081,851.40
  5. Step 5: Solve for x
    x = 2,081,851.40/1,656.63
  6. Step 6: Final answer
    x = 1,256.68

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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.