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Finding the Fourth Proportional to 1,432.34, 1,975.97 and 935.00

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Solution

The fourth proportional to 1,432.34, 1,975.97 and 935.00 is: 1,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.34 : 1,975.97 = 935.00 : x
  2. Step 2: Convert to fraction form
    1,432.34/1,975.97 = 935.00/x
  3. Step 3: Cross multiply
    1,432.34x = 1,975.97 × 935.00
  4. Step 4: Simplify right side
    1,432.34x = 1,847,517.40
  5. Step 5: Solve for x
    x = 1,847,517.40/1,432.34
  6. Step 6: Final answer
    x = 1,289.86

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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.