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Finding the Fourth Proportional to 443.81, 661.83 and 433.33

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Solution

The fourth proportional to 443.81, 661.83 and 433.33 is: 646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.81 : 661.83 = 433.33 : x
  2. Step 2: Convert to fraction form
    443.81/661.83 = 433.33/x
  3. Step 3: Cross multiply
    443.81x = 661.83 × 433.33
  4. Step 4: Simplify right side
    443.81x = 286,787.51
  5. Step 5: Solve for x
    x = 286,787.51/443.81
  6. Step 6: Final answer
    x = 646.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.