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Finding the Fourth Proportional to 1,556.92, 2,335.24 and 461.17

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Solution

The fourth proportional to 1,556.92, 2,335.24 and 461.17 is: 691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.92 : 2,335.24 = 461.17 : x
  2. Step 2: Convert to fraction form
    1,556.92/2,335.24 = 461.17/x
  3. Step 3: Cross multiply
    1,556.92x = 2,335.24 × 461.17
  4. Step 4: Simplify right side
    1,556.92x = 1,076,942.63
  5. Step 5: Solve for x
    x = 1,076,942.63/1,556.92
  6. Step 6: Final answer
    x = 691.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.