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Finding the Fourth Proportional to 669.45, 1,003.58 and 477.21

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Solution

The fourth proportional to 669.45, 1,003.58 and 477.21 is: 715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.45 : 1,003.58 = 477.21 : x
  2. Step 2: Convert to fraction form
    669.45/1,003.58 = 477.21/x
  3. Step 3: Cross multiply
    669.45x = 1,003.58 × 477.21
  4. Step 4: Simplify right side
    669.45x = 478,916.03
  5. Step 5: Solve for x
    x = 478,916.03/669.45
  6. Step 6: Final answer
    x = 715.39

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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.