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Finding the Fourth Proportional to 669.66, 923.98 and 420.89

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Solution

The fourth proportional to 669.66, 923.98 and 420.89 is: 580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.66 : 923.98 = 420.89 : x
  2. Step 2: Convert to fraction form
    669.66/923.98 = 420.89/x
  3. Step 3: Cross multiply
    669.66x = 923.98 × 420.89
  4. Step 4: Simplify right side
    669.66x = 388,895.20
  5. Step 5: Solve for x
    x = 388,895.20/669.66
  6. Step 6: Final answer
    x = 580.74

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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.