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Finding the Fourth Proportional to 923.21, 1,382.98 and 434.78

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Solution

The fourth proportional to 923.21, 1,382.98 and 434.78 is: 651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.21 : 1,382.98 = 434.78 : x
  2. Step 2: Convert to fraction form
    923.21/1,382.98 = 434.78/x
  3. Step 3: Cross multiply
    923.21x = 1,382.98 × 434.78
  4. Step 4: Simplify right side
    923.21x = 601,292.04
  5. Step 5: Solve for x
    x = 601,292.04/923.21
  6. Step 6: Final answer
    x = 651.31

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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.