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Finding the Fourth Proportional to 435.76, 650.46 and 403.22

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Solution

The fourth proportional to 435.76, 650.46 and 403.22 is: 601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.76 : 650.46 = 403.22 : x
  2. Step 2: Convert to fraction form
    435.76/650.46 = 403.22/x
  3. Step 3: Cross multiply
    435.76x = 650.46 × 403.22
  4. Step 4: Simplify right side
    435.76x = 262,281.62
  5. Step 5: Solve for x
    x = 262,281.62/435.76
  6. Step 6: Final answer
    x = 601.90

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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.