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Finding the Fourth Proportional to 669.41, 923.47 and 417.12

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Solution

The fourth proportional to 669.41, 923.47 and 417.12 is: 575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.41 : 923.47 = 417.12 : x
  2. Step 2: Convert to fraction form
    669.41/923.47 = 417.12/x
  3. Step 3: Cross multiply
    669.41x = 923.47 × 417.12
  4. Step 4: Simplify right side
    669.41x = 385,195.72
  5. Step 5: Solve for x
    x = 385,195.72/669.41
  6. Step 6: Final answer
    x = 575.43

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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.