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Finding the Fourth Proportional to 669.11, 1,003 and 322.35

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Solution

The fourth proportional to 669.11, 1,003 and 322.35 is: 483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.11 : 1,003 = 322.35 : x
  2. Step 2: Convert to fraction form
    669.11/1,003 = 322.35/x
  3. Step 3: Cross multiply
    669.11x = 1,003 × 322.35
  4. Step 4: Simplify right side
    669.11x = 323,317.05
  5. Step 5: Solve for x
    x = 323,317.05/669.11
  6. Step 6: Final answer
    x = 483.20

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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.