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Finding the Fourth Proportional to 669.04, 923.36 and 407.05

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Solution

The fourth proportional to 669.04, 923.36 and 407.05 is: 561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.04 : 923.36 = 407.05 : x
  2. Step 2: Convert to fraction form
    669.04/923.36 = 407.05/x
  3. Step 3: Cross multiply
    669.04x = 923.36 × 407.05
  4. Step 4: Simplify right side
    669.04x = 375,853.69
  5. Step 5: Solve for x
    x = 375,853.69/669.04
  6. Step 6: Final answer
    x = 561.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.