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Finding the Fourth Proportional to 435.35, 649.32 and 419.86

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Solution

The fourth proportional to 435.35, 649.32 and 419.86 is: 626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.35 : 649.32 = 419.86 : x
  2. Step 2: Convert to fraction form
    435.35/649.32 = 419.86/x
  3. Step 3: Cross multiply
    435.35x = 649.32 × 419.86
  4. Step 4: Simplify right side
    435.35x = 272,618.15
  5. Step 5: Solve for x
    x = 272,618.15/435.35
  6. Step 6: Final answer
    x = 626.20

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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.