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Finding the Fourth Proportional to 669.41, 923.54 and 403.93

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Solution

The fourth proportional to 669.41, 923.54 and 403.93 is: 557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.41 : 923.54 = 403.93 : x
  2. Step 2: Convert to fraction form
    669.41/923.54 = 403.93/x
  3. Step 3: Cross multiply
    669.41x = 923.54 × 403.93
  4. Step 4: Simplify right side
    669.41x = 373,043.49
  5. Step 5: Solve for x
    x = 373,043.49/669.41
  6. Step 6: Final answer
    x = 557.27

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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.