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Finding the Fourth Proportional to 669.59, 923.73 and 421.05

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Solution

The fourth proportional to 669.59, 923.73 and 421.05 is: 580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.59 : 923.73 = 421.05 : x
  2. Step 2: Convert to fraction form
    669.59/923.73 = 421.05/x
  3. Step 3: Cross multiply
    669.59x = 923.73 × 421.05
  4. Step 4: Simplify right side
    669.59x = 388,936.52
  5. Step 5: Solve for x
    x = 388,936.52/669.59
  6. Step 6: Final answer
    x = 580.86

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1.5x scale

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.