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Finding the Fourth Proportional to 669.38, 923.74 and 407.44

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Solution

The fourth proportional to 669.38, 923.74 and 407.44 is: 562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.38 : 923.74 = 407.44 : x
  2. Step 2: Convert to fraction form
    669.38/923.74 = 407.44/x
  3. Step 3: Cross multiply
    669.38x = 923.74 × 407.44
  4. Step 4: Simplify right side
    669.38x = 376,368.76
  5. Step 5: Solve for x
    x = 376,368.76/669.38
  6. Step 6: Final answer
    x = 562.27

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1.5x scale

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.