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Finding the Fourth Proportional to 923.07, 1,382.45 and 777.27

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Solution

The fourth proportional to 923.07, 1,382.45 and 777.27 is: 1,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.07 : 1,382.45 = 777.27 : x
  2. Step 2: Convert to fraction form
    923.07/1,382.45 = 777.27/x
  3. Step 3: Cross multiply
    923.07x = 1,382.45 × 777.27
  4. Step 4: Simplify right side
    923.07x = 1,074,533.03
  5. Step 5: Solve for x
    x = 1,074,533.03/923.07
  6. Step 6: Final answer
    x = 1,164.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.