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Finding the Fourth Proportional to 1,232.90, 1,701.20 and 701.82

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Solution

The fourth proportional to 1,232.90, 1,701.20 and 701.82 is: 968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.90 : 1,701.20 = 701.82 : x
  2. Step 2: Convert to fraction form
    1,232.90/1,701.20 = 701.82/x
  3. Step 3: Cross multiply
    1,232.90x = 1,701.20 × 701.82
  4. Step 4: Simplify right side
    1,232.90x = 1,193,936.18
  5. Step 5: Solve for x
    x = 1,193,936.18/1,232.90
  6. Step 6: Final answer
    x = 968.40

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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.