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Finding the Fourth Proportional to 1,330.81, 1,836.45 and 733.28

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Solution

The fourth proportional to 1,330.81, 1,836.45 and 733.28 is: 1,011.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.81 : 1,836.45 = 733.28 : x
  2. Step 2: Convert to fraction form
    1,330.81/1,836.45 = 733.28/x
  3. Step 3: Cross multiply
    1,330.81x = 1,836.45 × 733.28
  4. Step 4: Simplify right side
    1,330.81x = 1,346,632.06
  5. Step 5: Solve for x
    x = 1,346,632.06/1,330.81
  6. Step 6: Final answer
    x = 1,011.89

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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.