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Finding the Fourth Proportional to 1,193.21, 1,646.66 and 654.87

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Solution

The fourth proportional to 1,193.21, 1,646.66 and 654.87 is: 903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.21 : 1,646.66 = 654.87 : x
  2. Step 2: Convert to fraction form
    1,193.21/1,646.66 = 654.87/x
  3. Step 3: Cross multiply
    1,193.21x = 1,646.66 × 654.87
  4. Step 4: Simplify right side
    1,193.21x = 1,078,348.23
  5. Step 5: Solve for x
    x = 1,078,348.23/1,193.21
  6. Step 6: Final answer
    x = 903.74

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Why These Related Problems?

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