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Finding the Fourth Proportional to 669.21, 923.16 and 420.06

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Solution

The fourth proportional to 669.21, 923.16 and 420.06 is: 579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.21 : 923.16 = 420.06 : x
  2. Step 2: Convert to fraction form
    669.21/923.16 = 420.06/x
  3. Step 3: Cross multiply
    669.21x = 923.16 × 420.06
  4. Step 4: Simplify right side
    669.21x = 387,782.59
  5. Step 5: Solve for x
    x = 387,782.59/669.21
  6. Step 6: Final answer
    x = 579.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.