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Finding the Fourth Proportional to 1,212.81, 1,673.26 and 740.58

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Solution

The fourth proportional to 1,212.81, 1,673.26 and 740.58 is: 1,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.81 : 1,673.26 = 740.58 : x
  2. Step 2: Convert to fraction form
    1,212.81/1,673.26 = 740.58/x
  3. Step 3: Cross multiply
    1,212.81x = 1,673.26 × 740.58
  4. Step 4: Simplify right side
    1,212.81x = 1,239,179.19
  5. Step 5: Solve for x
    x = 1,239,179.19/1,212.81
  6. Step 6: Final answer
    x = 1,021.74

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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.