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Finding the Fourth Proportional to 669.45, 923.33 and 511.69

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Solution

The fourth proportional to 669.45, 923.33 and 511.69 is: 705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.45 : 923.33 = 511.69 : x
  2. Step 2: Convert to fraction form
    669.45/923.33 = 511.69/x
  3. Step 3: Cross multiply
    669.45x = 923.33 × 511.69
  4. Step 4: Simplify right side
    669.45x = 472,456.55
  5. Step 5: Solve for x
    x = 472,456.55/669.45
  6. Step 6: Final answer
    x = 705.73

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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.