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Finding the Fourth Proportional to 669.08, 923.10 and 407.12

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Solution

The fourth proportional to 669.08, 923.10 and 407.12 is: 561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.08 : 923.10 = 407.12 : x
  2. Step 2: Convert to fraction form
    669.08/923.10 = 407.12/x
  3. Step 3: Cross multiply
    669.08x = 923.10 × 407.12
  4. Step 4: Simplify right side
    669.08x = 375,812.47
  5. Step 5: Solve for x
    x = 375,812.47/669.08
  6. Step 6: Final answer
    x = 561.69

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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.