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Finding the Fourth Proportional to 444.24, 662.30 and 433.02

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Solution

The fourth proportional to 444.24, 662.30 and 433.02 is: 645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.24 : 662.30 = 433.02 : x
  2. Step 2: Convert to fraction form
    444.24/662.30 = 433.02/x
  3. Step 3: Cross multiply
    444.24x = 662.30 × 433.02
  4. Step 4: Simplify right side
    444.24x = 286,789.15
  5. Step 5: Solve for x
    x = 286,789.15/444.24
  6. Step 6: Final answer
    x = 645.57

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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.