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Finding the Fourth Proportional to 669.68, 923.64 and 421.12

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Solution

The fourth proportional to 669.68, 923.64 and 421.12 is: 580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.68 : 923.64 = 421.12 : x
  2. Step 2: Convert to fraction form
    669.68/923.64 = 421.12/x
  3. Step 3: Cross multiply
    669.68x = 923.64 × 421.12
  4. Step 4: Simplify right side
    669.68x = 388,963.28
  5. Step 5: Solve for x
    x = 388,963.28/669.68
  6. Step 6: Final answer
    x = 580.82

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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.