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Finding the Fourth Proportional to 698.04, 1,047.33 and 328.05

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Solution

The fourth proportional to 698.04, 1,047.33 and 328.05 is: 492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 1,047.33 = 328.05 : x
  2. Step 2: Convert to fraction form
    698.04/1,047.33 = 328.05/x
  3. Step 3: Cross multiply
    698.04x = 1,047.33 × 328.05
  4. Step 4: Simplify right side
    698.04x = 343,576.61
  5. Step 5: Solve for x
    x = 343,576.61/698.04
  6. Step 6: Final answer
    x = 492.20

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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.