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Finding the Fourth Proportional to 1,865.89, 2,797.07 and 632.42

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Solution

The fourth proportional to 1,865.89, 2,797.07 and 632.42 is: 948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.89 : 2,797.07 = 632.42 : x
  2. Step 2: Convert to fraction form
    1,865.89/2,797.07 = 632.42/x
  3. Step 3: Cross multiply
    1,865.89x = 2,797.07 × 632.42
  4. Step 4: Simplify right side
    1,865.89x = 1,768,919.85
  5. Step 5: Solve for x
    x = 1,768,919.85/1,865.89
  6. Step 6: Final answer
    x = 948.03

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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.