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Finding the Fourth Proportional to 668.75, 923.04 and 406.99

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Solution

The fourth proportional to 668.75, 923.04 and 406.99 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.75 : 923.04 = 406.99 : x
  2. Step 2: Convert to fraction form
    668.75/923.04 = 406.99/x
  3. Step 3: Cross multiply
    668.75x = 923.04 × 406.99
  4. Step 4: Simplify right side
    668.75x = 375,661.40
  5. Step 5: Solve for x
    x = 375,661.40/668.75
  6. Step 6: Final answer
    x = 561.74

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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.