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Finding the Fourth Proportional to 669.70, 923.08 and 448.57

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Solution

The fourth proportional to 669.70, 923.08 and 448.57 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.70 : 923.08 = 448.57 : x
  2. Step 2: Convert to fraction form
    669.70/923.08 = 448.57/x
  3. Step 3: Cross multiply
    669.70x = 923.08 × 448.57
  4. Step 4: Simplify right side
    669.70x = 414,066.00
  5. Step 5: Solve for x
    x = 414,066.00/669.70
  6. Step 6: Final answer
    x = 618.29

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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.