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Finding the Fourth Proportional to 599.09, 896.54 and 414.18

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Solution

The fourth proportional to 599.09, 896.54 and 414.18 is: 619.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.09 : 896.54 = 414.18 : x
  2. Step 2: Convert to fraction form
    599.09/896.54 = 414.18/x
  3. Step 3: Cross multiply
    599.09x = 896.54 × 414.18
  4. Step 4: Simplify right side
    599.09x = 371,326.87
  5. Step 5: Solve for x
    x = 371,326.87/599.09
  6. Step 6: Final answer
    x = 619.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.