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Finding the Fourth Proportional to 443.30, 660.98 and 435.11

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Solution

The fourth proportional to 443.30, 660.98 and 435.11 is: 648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.30 : 660.98 = 435.11 : x
  2. Step 2: Convert to fraction form
    443.30/660.98 = 435.11/x
  3. Step 3: Cross multiply
    443.30x = 660.98 × 435.11
  4. Step 4: Simplify right side
    443.30x = 287,596.79
  5. Step 5: Solve for x
    x = 287,596.79/443.30
  6. Step 6: Final answer
    x = 648.77

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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.