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Finding the Fourth Proportional to 669.54, 1,003.32 and 567.12

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Solution

The fourth proportional to 669.54, 1,003.32 and 567.12 is: 849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.54 : 1,003.32 = 567.12 : x
  2. Step 2: Convert to fraction form
    669.54/1,003.32 = 567.12/x
  3. Step 3: Cross multiply
    669.54x = 1,003.32 × 567.12
  4. Step 4: Simplify right side
    669.54x = 569,002.84
  5. Step 5: Solve for x
    x = 569,002.84/669.54
  6. Step 6: Final answer
    x = 849.84

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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.