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Finding the Fourth Proportional to 693.04, 1,033.04 and 673.60

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Solution

The fourth proportional to 693.04, 1,033.04 and 673.60 is: 1,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 1,033.04 = 673.60 : x
  2. Step 2: Convert to fraction form
    693.04/1,033.04 = 673.60/x
  3. Step 3: Cross multiply
    693.04x = 1,033.04 × 673.60
  4. Step 4: Simplify right side
    693.04x = 695,855.74
  5. Step 5: Solve for x
    x = 695,855.74/693.04
  6. Step 6: Final answer
    x = 1,004.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.