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Finding the Fourth Proportional to 922.69, 1,382.81 and 512.02

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Solution

The fourth proportional to 922.69, 1,382.81 and 512.02 is: 767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.69 : 1,382.81 = 512.02 : x
  2. Step 2: Convert to fraction form
    922.69/1,382.81 = 512.02/x
  3. Step 3: Cross multiply
    922.69x = 1,382.81 × 512.02
  4. Step 4: Simplify right side
    922.69x = 708,020.36
  5. Step 5: Solve for x
    x = 708,020.36/922.69
  6. Step 6: Final answer
    x = 767.35

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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.