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Finding the Fourth Proportional to 697.85, 1,048.16 and 673.25

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Solution

The fourth proportional to 697.85, 1,048.16 and 673.25 is: 1,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.85 : 1,048.16 = 673.25 : x
  2. Step 2: Convert to fraction form
    697.85/1,048.16 = 673.25/x
  3. Step 3: Cross multiply
    697.85x = 1,048.16 × 673.25
  4. Step 4: Simplify right side
    697.85x = 705,673.72
  5. Step 5: Solve for x
    x = 705,673.72/697.85
  6. Step 6: Final answer
    x = 1,011.21

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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.