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Finding the Fourth Proportional to 669.11, 923.52 and 407.07

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Solution

The fourth proportional to 669.11, 923.52 and 407.07 is: 561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.11 : 923.52 = 407.07 : x
  2. Step 2: Convert to fraction form
    669.11/923.52 = 407.07/x
  3. Step 3: Cross multiply
    669.11x = 923.52 × 407.07
  4. Step 4: Simplify right side
    669.11x = 375,937.29
  5. Step 5: Solve for x
    x = 375,937.29/669.11
  6. Step 6: Final answer
    x = 561.85

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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.