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Finding the Fourth Proportional to 1,556.82, 2,335.59 and 461.16

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Solution

The fourth proportional to 1,556.82, 2,335.59 and 461.16 is: 691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.82 : 2,335.59 = 461.16 : x
  2. Step 2: Convert to fraction form
    1,556.82/2,335.59 = 461.16/x
  3. Step 3: Cross multiply
    1,556.82x = 2,335.59 × 461.16
  4. Step 4: Simplify right side
    1,556.82x = 1,077,080.68
  5. Step 5: Solve for x
    x = 1,077,080.68/1,556.82
  6. Step 6: Final answer
    x = 691.85

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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.