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Finding the Fourth Proportional to 435.40, 649.43 and 405.16

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Solution

The fourth proportional to 435.40, 649.43 and 405.16 is: 604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.40 : 649.43 = 405.16 : x
  2. Step 2: Convert to fraction form
    435.40/649.43 = 405.16/x
  3. Step 3: Cross multiply
    435.40x = 649.43 × 405.16
  4. Step 4: Simplify right side
    435.40x = 263,123.06
  5. Step 5: Solve for x
    x = 263,123.06/435.40
  6. Step 6: Final answer
    x = 604.32

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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.