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Finding the Fourth Proportional to 1,133.69, 1,698.21 and 670.07

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Solution

The fourth proportional to 1,133.69, 1,698.21 and 670.07 is: 1,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.69 : 1,698.21 = 670.07 : x
  2. Step 2: Convert to fraction form
    1,133.69/1,698.21 = 670.07/x
  3. Step 3: Cross multiply
    1,133.69x = 1,698.21 × 670.07
  4. Step 4: Simplify right side
    1,133.69x = 1,137,911.08
  5. Step 5: Solve for x
    x = 1,137,911.08/1,133.69
  6. Step 6: Final answer
    x = 1,003.73

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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.