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Finding the Fourth Proportional to 922.77, 1,382.13 and 434.34

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Solution

The fourth proportional to 922.77, 1,382.13 and 434.34 is: 650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.77 : 1,382.13 = 434.34 : x
  2. Step 2: Convert to fraction form
    922.77/1,382.13 = 434.34/x
  3. Step 3: Cross multiply
    922.77x = 1,382.13 × 434.34
  4. Step 4: Simplify right side
    922.77x = 600,314.34
  5. Step 5: Solve for x
    x = 600,314.34/922.77
  6. Step 6: Final answer
    x = 650.56

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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.