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Finding the Fourth Proportional to 669.41, 923.24 and 504.14

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Solution

The fourth proportional to 669.41, 923.24 and 504.14 is: 695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.41 : 923.24 = 504.14 : x
  2. Step 2: Convert to fraction form
    669.41/923.24 = 504.14/x
  3. Step 3: Cross multiply
    669.41x = 923.24 × 504.14
  4. Step 4: Simplify right side
    669.41x = 465,435.08
  5. Step 5: Solve for x
    x = 465,435.08/669.41
  6. Step 6: Final answer
    x = 695.30

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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.