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Finding the Fourth Proportional to 1,193.42, 1,789.63 and 645.46

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Solution

The fourth proportional to 1,193.42, 1,789.63 and 645.46 is: 967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.42 : 1,789.63 = 645.46 : x
  2. Step 2: Convert to fraction form
    1,193.42/1,789.63 = 645.46/x
  3. Step 3: Cross multiply
    1,193.42x = 1,789.63 × 645.46
  4. Step 4: Simplify right side
    1,193.42x = 1,155,128.49
  5. Step 5: Solve for x
    x = 1,155,128.49/1,193.42
  6. Step 6: Final answer
    x = 967.91

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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.