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Finding the Fourth Proportional to 938.46, 1,283.58 and 923.34

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Solution

The fourth proportional to 938.46, 1,283.58 and 923.34 is: 1,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.46 : 1,283.58 = 923.34 : x
  2. Step 2: Convert to fraction form
    938.46/1,283.58 = 923.34/x
  3. Step 3: Cross multiply
    938.46x = 1,283.58 × 923.34
  4. Step 4: Simplify right side
    938.46x = 1,185,180.76
  5. Step 5: Solve for x
    x = 1,185,180.76/938.46
  6. Step 6: Final answer
    x = 1,262.90

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.