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Finding the Fourth Proportional to 1,904.78, 2,858.09 and 865.55

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Solution

The fourth proportional to 1,904.78, 2,858.09 and 865.55 is: 1,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.78 : 2,858.09 = 865.55 : x
  2. Step 2: Convert to fraction form
    1,904.78/2,858.09 = 865.55/x
  3. Step 3: Cross multiply
    1,904.78x = 2,858.09 × 865.55
  4. Step 4: Simplify right side
    1,904.78x = 2,473,822.62
  5. Step 5: Solve for x
    x = 2,473,822.62/1,904.78
  6. Step 6: Final answer
    x = 1,298.74

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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.