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Finding the Fourth Proportional to 443.43, 661.27 and 432.95

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Solution

The fourth proportional to 443.43, 661.27 and 432.95 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.43 : 661.27 = 432.95 : x
  2. Step 2: Convert to fraction form
    443.43/661.27 = 432.95/x
  3. Step 3: Cross multiply
    443.43x = 661.27 × 432.95
  4. Step 4: Simplify right side
    443.43x = 286,295.77
  5. Step 5: Solve for x
    x = 286,295.77/443.43
  6. Step 6: Final answer
    x = 645.64

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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.