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Finding the Fourth Proportional to 938.04, 1,291.32 and 806.28

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Solution

The fourth proportional to 938.04, 1,291.32 and 806.28 is: 1,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.04 : 1,291.32 = 806.28 : x
  2. Step 2: Convert to fraction form
    938.04/1,291.32 = 806.28/x
  3. Step 3: Cross multiply
    938.04x = 1,291.32 × 806.28
  4. Step 4: Simplify right side
    938.04x = 1,041,165.49
  5. Step 5: Solve for x
    x = 1,041,165.49/938.04
  6. Step 6: Final answer
    x = 1,109.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.