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Finding the Fourth Proportional to 435.56, 596.71 and 419.12

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Solution

The fourth proportional to 435.56, 596.71 and 419.12 is: 574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.56 : 596.71 = 419.12 : x
  2. Step 2: Convert to fraction form
    435.56/596.71 = 419.12/x
  3. Step 3: Cross multiply
    435.56x = 596.71 × 419.12
  4. Step 4: Simplify right side
    435.56x = 250,093.10
  5. Step 5: Solve for x
    x = 250,093.10/435.56
  6. Step 6: Final answer
    x = 574.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.