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Finding the Fourth Proportional to 923.67, 1,382.87 and 829.98

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Solution

The fourth proportional to 923.67, 1,382.87 and 829.98 is: 1,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.67 : 1,382.87 = 829.98 : x
  2. Step 2: Convert to fraction form
    923.67/1,382.87 = 829.98/x
  3. Step 3: Cross multiply
    923.67x = 1,382.87 × 829.98
  4. Step 4: Simplify right side
    923.67x = 1,147,756.52
  5. Step 5: Solve for x
    x = 1,147,756.52/923.67
  6. Step 6: Final answer
    x = 1,242.60

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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.