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Finding the Fourth Proportional to 1,266.01, 1,746.69 and 867.33

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Solution

The fourth proportional to 1,266.01, 1,746.69 and 867.33 is: 1,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.01 : 1,746.69 = 867.33 : x
  2. Step 2: Convert to fraction form
    1,266.01/1,746.69 = 867.33/x
  3. Step 3: Cross multiply
    1,266.01x = 1,746.69 × 867.33
  4. Step 4: Simplify right side
    1,266.01x = 1,514,956.64
  5. Step 5: Solve for x
    x = 1,514,956.64/1,266.01
  6. Step 6: Final answer
    x = 1,196.64

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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.