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Finding the Fourth Proportional to 1,196.40, 1,792.02 and 647.43

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Solution

The fourth proportional to 1,196.40, 1,792.02 and 647.43 is: 969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.40 : 1,792.02 = 647.43 : x
  2. Step 2: Convert to fraction form
    1,196.40/1,792.02 = 647.43/x
  3. Step 3: Cross multiply
    1,196.40x = 1,792.02 × 647.43
  4. Step 4: Simplify right side
    1,196.40x = 1,160,203.22
  5. Step 5: Solve for x
    x = 1,160,203.22/1,196.40
  6. Step 6: Final answer
    x = 969.74

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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.