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Finding the Fourth Proportional to 698.02, 1,047 and 211.08

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Solution

The fourth proportional to 698.02, 1,047 and 211.08 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.02 : 1,047 = 211.08 : x
  2. Step 2: Convert to fraction form
    698.02/1,047 = 211.08/x
  3. Step 3: Cross multiply
    698.02x = 1,047 × 211.08
  4. Step 4: Simplify right side
    698.02x = 221,000.76
  5. Step 5: Solve for x
    x = 221,000.76/698.02
  6. Step 6: Final answer
    x = 316.61

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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.