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Finding the Fourth Proportional to 1,455.35, 2,008.23 and 865.81

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Solution

The fourth proportional to 1,455.35, 2,008.23 and 865.81 is: 1,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.35 : 2,008.23 = 865.81 : x
  2. Step 2: Convert to fraction form
    1,455.35/2,008.23 = 865.81/x
  3. Step 3: Cross multiply
    1,455.35x = 2,008.23 × 865.81
  4. Step 4: Simplify right side
    1,455.35x = 1,738,735.58
  5. Step 5: Solve for x
    x = 1,738,735.58/1,455.35
  6. Step 6: Final answer
    x = 1,194.72

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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.