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Finding the Fourth Proportional to 1,780.01, 2,667.63 and 958.87

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Solution

The fourth proportional to 1,780.01, 2,667.63 and 958.87 is: 1,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.01 : 2,667.63 = 958.87 : x
  2. Step 2: Convert to fraction form
    1,780.01/2,667.63 = 958.87/x
  3. Step 3: Cross multiply
    1,780.01x = 2,667.63 × 958.87
  4. Step 4: Simplify right side
    1,780.01x = 2,557,917.31
  5. Step 5: Solve for x
    x = 2,557,917.31/1,780.01
  6. Step 6: Final answer
    x = 1,437.03

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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.