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Finding the Fourth Proportional to 938.03, 1,406.92 and 313.37

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Solution

The fourth proportional to 938.03, 1,406.92 and 313.37 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.03 : 1,406.92 = 313.37 : x
  2. Step 2: Convert to fraction form
    938.03/1,406.92 = 313.37/x
  3. Step 3: Cross multiply
    938.03x = 1,406.92 × 313.37
  4. Step 4: Simplify right side
    938.03x = 440,884.57
  5. Step 5: Solve for x
    x = 440,884.57/938.03
  6. Step 6: Final answer
    x = 470.01

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1.5x scale

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.