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Finding the Fourth Proportional to 669.54, 923.07 and 512.26

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Solution

The fourth proportional to 669.54, 923.07 and 512.26 is: 706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.54 : 923.07 = 512.26 : x
  2. Step 2: Convert to fraction form
    669.54/923.07 = 512.26/x
  3. Step 3: Cross multiply
    669.54x = 923.07 × 512.26
  4. Step 4: Simplify right side
    669.54x = 472,851.84
  5. Step 5: Solve for x
    x = 472,851.84/669.54
  6. Step 6: Final answer
    x = 706.23

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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.