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Finding the Fourth Proportional to 669.76, 923.97 and 420.58

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Solution

The fourth proportional to 669.76, 923.97 and 420.58 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.76 : 923.97 = 420.58 : x
  2. Step 2: Convert to fraction form
    669.76/923.97 = 420.58/x
  3. Step 3: Cross multiply
    669.76x = 923.97 × 420.58
  4. Step 4: Simplify right side
    669.76x = 388,603.30
  5. Step 5: Solve for x
    x = 388,603.30/669.76
  6. Step 6: Final answer
    x = 580.21

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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.