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Finding the Fourth Proportional to 700.50, 1,050.46 and 206.80

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Solution

The fourth proportional to 700.50, 1,050.46 and 206.80 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.50 : 1,050.46 = 206.80 : x
  2. Step 2: Convert to fraction form
    700.50/1,050.46 = 206.80/x
  3. Step 3: Cross multiply
    700.50x = 1,050.46 × 206.80
  4. Step 4: Simplify right side
    700.50x = 217,235.13
  5. Step 5: Solve for x
    x = 217,235.13/700.50
  6. Step 6: Final answer
    x = 310.11

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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.