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Finding the Fourth Proportional to 435.61, 596.76 and 419.83

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Solution

The fourth proportional to 435.61, 596.76 and 419.83 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.61 : 596.76 = 419.83 : x
  2. Step 2: Convert to fraction form
    435.61/596.76 = 419.83/x
  3. Step 3: Cross multiply
    435.61x = 596.76 × 419.83
  4. Step 4: Simplify right side
    435.61x = 250,537.75
  5. Step 5: Solve for x
    x = 250,537.75/435.61
  6. Step 6: Final answer
    x = 575.14

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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.