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Finding the Fourth Proportional to 923.69, 1,274.54 and 550.53

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Solution

The fourth proportional to 923.69, 1,274.54 and 550.53 is: 759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.69 : 1,274.54 = 550.53 : x
  2. Step 2: Convert to fraction form
    923.69/1,274.54 = 550.53/x
  3. Step 3: Cross multiply
    923.69x = 1,274.54 × 550.53
  4. Step 4: Simplify right side
    923.69x = 701,672.51
  5. Step 5: Solve for x
    x = 701,672.51/923.69
  6. Step 6: Final answer
    x = 759.64

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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.