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Finding the Fourth Proportional to 669.25, 922.62 and 420.58

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Solution

The fourth proportional to 669.25, 922.62 and 420.58 is: 579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.25 : 922.62 = 420.58 : x
  2. Step 2: Convert to fraction form
    669.25/922.62 = 420.58/x
  3. Step 3: Cross multiply
    669.25x = 922.62 × 420.58
  4. Step 4: Simplify right side
    669.25x = 388,035.52
  5. Step 5: Solve for x
    x = 388,035.52/669.25
  6. Step 6: Final answer
    x = 579.81

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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.