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Finding the Fourth Proportional to 669.07, 1,003.40 and 322.23

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Solution

The fourth proportional to 669.07, 1,003.40 and 322.23 is: 483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.07 : 1,003.40 = 322.23 : x
  2. Step 2: Convert to fraction form
    669.07/1,003.40 = 322.23/x
  3. Step 3: Cross multiply
    669.07x = 1,003.40 × 322.23
  4. Step 4: Simplify right side
    669.07x = 323,323.97
  5. Step 5: Solve for x
    x = 323,323.97/669.07
  6. Step 6: Final answer
    x = 483.25

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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.