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Finding the Fourth Proportional to 922.58, 1,382.04 and 434.15

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Solution

The fourth proportional to 922.58, 1,382.04 and 434.15 is: 650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.58 : 1,382.04 = 434.15 : x
  2. Step 2: Convert to fraction form
    922.58/1,382.04 = 434.15/x
  3. Step 3: Cross multiply
    922.58x = 1,382.04 × 434.15
  4. Step 4: Simplify right side
    922.58x = 600,016.12
  5. Step 5: Solve for x
    x = 600,016.12/922.58
  6. Step 6: Final answer
    x = 650.37

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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.