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Finding the Fourth Proportional to 922, 1,382.28 and 434.92

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Solution

The fourth proportional to 922, 1,382.28 and 434.92 is: 652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    922 : 1,382.28 = 434.92 : x
  2. Step 2: Convert to fraction form
    922/1,382.28 = 434.92/x
  3. Step 3: Cross multiply
    922x = 1,382.28 × 434.92
  4. Step 4: Simplify right side
    922x = 601,181.22
  5. Step 5: Solve for x
    x = 601,181.22/922
  6. Step 6: Final answer
    x = 652.04

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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.