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Finding the Fourth Proportional to 673.85, 1,011.69 and 659.57

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Solution

The fourth proportional to 673.85, 1,011.69 and 659.57 is: 990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.85 : 1,011.69 = 659.57 : x
  2. Step 2: Convert to fraction form
    673.85/1,011.69 = 659.57/x
  3. Step 3: Cross multiply
    673.85x = 1,011.69 × 659.57
  4. Step 4: Simplify right side
    673.85x = 667,280.37
  5. Step 5: Solve for x
    x = 667,280.37/673.85
  6. Step 6: Final answer
    x = 990.25

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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.