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Finding the Fourth Proportional to 599.10, 899.18 and 416.63

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Solution

The fourth proportional to 599.10, 899.18 and 416.63 is: 625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.10 : 899.18 = 416.63 : x
  2. Step 2: Convert to fraction form
    599.10/899.18 = 416.63/x
  3. Step 3: Cross multiply
    599.10x = 899.18 × 416.63
  4. Step 4: Simplify right side
    599.10x = 374,618.78
  5. Step 5: Solve for x
    x = 374,618.78/599.10
  6. Step 6: Final answer
    x = 625.30

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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.