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Finding the Fourth Proportional to 669.12, 999.04 and 571.84

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Solution

The fourth proportional to 669.12, 999.04 and 571.84 is: 853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.12 : 999.04 = 571.84 : x
  2. Step 2: Convert to fraction form
    669.12/999.04 = 571.84/x
  3. Step 3: Cross multiply
    669.12x = 999.04 × 571.84
  4. Step 4: Simplify right side
    669.12x = 571,291.03
  5. Step 5: Solve for x
    x = 571,291.03/669.12
  6. Step 6: Final answer
    x = 853.79

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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.