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Finding the Fourth Proportional to 698.15, 1,047.38 and 328.18

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Solution

The fourth proportional to 698.15, 1,047.38 and 328.18 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.15 : 1,047.38 = 328.18 : x
  2. Step 2: Convert to fraction form
    698.15/1,047.38 = 328.18/x
  3. Step 3: Cross multiply
    698.15x = 1,047.38 × 328.18
  4. Step 4: Simplify right side
    698.15x = 343,722.29
  5. Step 5: Solve for x
    x = 343,722.29/698.15
  6. Step 6: Final answer
    x = 492.33

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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.