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Finding the Fourth Proportional to 698.49, 1,047.85 and 236.30

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Solution

The fourth proportional to 698.49, 1,047.85 and 236.30 is: 354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.49 : 1,047.85 = 236.30 : x
  2. Step 2: Convert to fraction form
    698.49/1,047.85 = 236.30/x
  3. Step 3: Cross multiply
    698.49x = 1,047.85 × 236.30
  4. Step 4: Simplify right side
    698.49x = 247,607.84
  5. Step 5: Solve for x
    x = 247,607.84/698.49
  6. Step 6: Final answer
    x = 354.49

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Double scale
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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.