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Finding the Fourth Proportional to 612.66, 843.66 and 599.04

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Solution

The fourth proportional to 612.66, 843.66 and 599.04 is: 824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.66 : 843.66 = 599.04 : x
  2. Step 2: Convert to fraction form
    612.66/843.66 = 599.04/x
  3. Step 3: Cross multiply
    612.66x = 843.66 × 599.04
  4. Step 4: Simplify right side
    612.66x = 505,386.09
  5. Step 5: Solve for x
    x = 505,386.09/612.66
  6. Step 6: Final answer
    x = 824.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.