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Finding the Fourth Proportional to 669.29, 924.06 and 407.75

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Solution

The fourth proportional to 669.29, 924.06 and 407.75 is: 562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.29 : 924.06 = 407.75 : x
  2. Step 2: Convert to fraction form
    669.29/924.06 = 407.75/x
  3. Step 3: Cross multiply
    669.29x = 924.06 × 407.75
  4. Step 4: Simplify right side
    669.29x = 376,789.30
  5. Step 5: Solve for x
    x = 376,789.30/669.29
  6. Step 6: Final answer
    x = 562.97

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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.