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Finding the Fourth Proportional to 1,332.43, 1,836.96 and 933.56

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Solution

The fourth proportional to 1,332.43, 1,836.96 and 933.56 is: 1,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.43 : 1,836.96 = 933.56 : x
  2. Step 2: Convert to fraction form
    1,332.43/1,836.96 = 933.56/x
  3. Step 3: Cross multiply
    1,332.43x = 1,836.96 × 933.56
  4. Step 4: Simplify right side
    1,332.43x = 1,714,903.19
  5. Step 5: Solve for x
    x = 1,714,903.19/1,332.43
  6. Step 6: Final answer
    x = 1,287.05

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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.