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Finding the Fourth Proportional to 800.01, 1,197.98 and 669.68

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Solution

The fourth proportional to 800.01, 1,197.98 and 669.68 is: 1,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.01 : 1,197.98 = 669.68 : x
  2. Step 2: Convert to fraction form
    800.01/1,197.98 = 669.68/x
  3. Step 3: Cross multiply
    800.01x = 1,197.98 × 669.68
  4. Step 4: Simplify right side
    800.01x = 802,271.42
  5. Step 5: Solve for x
    x = 802,271.42/800.01
  6. Step 6: Final answer
    x = 1,002.83

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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.