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Finding the Fourth Proportional to 693.10, 1,039.70 and 206.20

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Solution

The fourth proportional to 693.10, 1,039.70 and 206.20 is: 309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.10 : 1,039.70 = 206.20 : x
  2. Step 2: Convert to fraction form
    693.10/1,039.70 = 206.20/x
  3. Step 3: Cross multiply
    693.10x = 1,039.70 × 206.20
  4. Step 4: Simplify right side
    693.10x = 214,386.14
  5. Step 5: Solve for x
    x = 214,386.14/693.10
  6. Step 6: Final answer
    x = 309.31

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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.