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Finding the Fourth Proportional to 938.06, 1,294.16 and 606.68

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Solution

The fourth proportional to 938.06, 1,294.16 and 606.68 is: 836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.06 : 1,294.16 = 606.68 : x
  2. Step 2: Convert to fraction form
    938.06/1,294.16 = 606.68/x
  3. Step 3: Cross multiply
    938.06x = 1,294.16 × 606.68
  4. Step 4: Simplify right side
    938.06x = 785,140.99
  5. Step 5: Solve for x
    x = 785,140.99/938.06
  6. Step 6: Final answer
    x = 836.98

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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.