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Finding the Fourth Proportional to 690, 1,036.37 and 673.62

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Solution

The fourth proportional to 690, 1,036.37 and 673.62 is: 1,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    690 : 1,036.37 = 673.62 : x
  2. Step 2: Convert to fraction form
    690/1,036.37 = 673.62/x
  3. Step 3: Cross multiply
    690x = 1,036.37 × 673.62
  4. Step 4: Simplify right side
    690x = 698,119.56
  5. Step 5: Solve for x
    x = 698,119.56/690
  6. Step 6: Final answer
    x = 1,011.77

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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.