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Finding the Fourth Proportional to 1,455.88, 2,009.40 and 866.74

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Solution

The fourth proportional to 1,455.88, 2,009.40 and 866.74 is: 1,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.88 : 2,009.40 = 866.74 : x
  2. Step 2: Convert to fraction form
    1,455.88/2,009.40 = 866.74/x
  3. Step 3: Cross multiply
    1,455.88x = 2,009.40 × 866.74
  4. Step 4: Simplify right side
    1,455.88x = 1,741,627.36
  5. Step 5: Solve for x
    x = 1,741,627.36/1,455.88
  6. Step 6: Final answer
    x = 1,196.27

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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.