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Finding the Fourth Proportional to 698.61, 1,047.55 and 236.22

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Solution

The fourth proportional to 698.61, 1,047.55 and 236.22 is: 354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.61 : 1,047.55 = 236.22 : x
  2. Step 2: Convert to fraction form
    698.61/1,047.55 = 236.22/x
  3. Step 3: Cross multiply
    698.61x = 1,047.55 × 236.22
  4. Step 4: Simplify right side
    698.61x = 247,448.19
  5. Step 5: Solve for x
    x = 247,448.19/698.61
  6. Step 6: Final answer
    x = 354.20

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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.