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Finding the Fourth Proportional to 1,865.95, 2,796.41 and 711.07

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Solution

The fourth proportional to 1,865.95, 2,796.41 and 711.07 is: 1,065.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.95 : 2,796.41 = 711.07 : x
  2. Step 2: Convert to fraction form
    1,865.95/2,796.41 = 711.07/x
  3. Step 3: Cross multiply
    1,865.95x = 2,796.41 × 711.07
  4. Step 4: Simplify right side
    1,865.95x = 1,988,439.70
  5. Step 5: Solve for x
    x = 1,988,439.70/1,865.95
  6. Step 6: Final answer
    x = 1,065.64

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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.