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Finding the Fourth Proportional to 669.57, 1,004.33 and 552.93

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Solution

The fourth proportional to 669.57, 1,004.33 and 552.93 is: 829.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.57 : 1,004.33 = 552.93 : x
  2. Step 2: Convert to fraction form
    669.57/1,004.33 = 552.93/x
  3. Step 3: Cross multiply
    669.57x = 1,004.33 × 552.93
  4. Step 4: Simplify right side
    669.57x = 555,321.42
  5. Step 5: Solve for x
    x = 555,321.42/669.57
  6. Step 6: Final answer
    x = 829.37

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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.