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Finding the Fourth Proportional to 1,455.83, 2,009.03 and 866.35

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Solution

The fourth proportional to 1,455.83, 2,009.03 and 866.35 is: 1,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.83 : 2,009.03 = 866.35 : x
  2. Step 2: Convert to fraction form
    1,455.83/2,009.03 = 866.35/x
  3. Step 3: Cross multiply
    1,455.83x = 2,009.03 × 866.35
  4. Step 4: Simplify right side
    1,455.83x = 1,740,523.14
  5. Step 5: Solve for x
    x = 1,740,523.14/1,455.83
  6. Step 6: Final answer
    x = 1,195.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.