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Finding the Fourth Proportional to 669, 922.95 and 406.92

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Solution

The fourth proportional to 669, 922.95 and 406.92 is: 561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669 : 922.95 = 406.92 : x
  2. Step 2: Convert to fraction form
    669/922.95 = 406.92/x
  3. Step 3: Cross multiply
    669x = 922.95 × 406.92
  4. Step 4: Simplify right side
    669x = 375,566.81
  5. Step 5: Solve for x
    x = 375,566.81/669
  6. Step 6: Final answer
    x = 561.39

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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.