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Finding the Fourth Proportional to 435.75, 649.85 and 386.94

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Solution

The fourth proportional to 435.75, 649.85 and 386.94 is: 577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.75 : 649.85 = 386.94 : x
  2. Step 2: Convert to fraction form
    435.75/649.85 = 386.94/x
  3. Step 3: Cross multiply
    435.75x = 649.85 × 386.94
  4. Step 4: Simplify right side
    435.75x = 251,451.02
  5. Step 5: Solve for x
    x = 251,451.02/435.75
  6. Step 6: Final answer
    x = 577.05

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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.