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Finding the Fourth Proportional to 1,432.17, 1,976.99 and 935.23

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Solution

The fourth proportional to 1,432.17, 1,976.99 and 935.23 is: 1,291.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.17 : 1,976.99 = 935.23 : x
  2. Step 2: Convert to fraction form
    1,432.17/1,976.99 = 935.23/x
  3. Step 3: Cross multiply
    1,432.17x = 1,976.99 × 935.23
  4. Step 4: Simplify right side
    1,432.17x = 1,848,940.36
  5. Step 5: Solve for x
    x = 1,848,940.36/1,432.17
  6. Step 6: Final answer
    x = 1,291.01

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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.