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Finding the Fourth Proportional to 923.35, 1,382.86 and 663.67

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Solution

The fourth proportional to 923.35, 1,382.86 and 663.67 is: 993.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.35 : 1,382.86 = 663.67 : x
  2. Step 2: Convert to fraction form
    923.35/1,382.86 = 663.67/x
  3. Step 3: Cross multiply
    923.35x = 1,382.86 × 663.67
  4. Step 4: Simplify right side
    923.35x = 917,762.70
  5. Step 5: Solve for x
    x = 917,762.70/923.35
  6. Step 6: Final answer
    x = 993.95

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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.