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Finding the Fourth Proportional to 599.60, 828.60 and 468.38

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Solution

The fourth proportional to 599.60, 828.60 and 468.38 is: 647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.60 : 828.60 = 468.38 : x
  2. Step 2: Convert to fraction form
    599.60/828.60 = 468.38/x
  3. Step 3: Cross multiply
    599.60x = 828.60 × 468.38
  4. Step 4: Simplify right side
    599.60x = 388,099.67
  5. Step 5: Solve for x
    x = 388,099.67/599.60
  6. Step 6: Final answer
    x = 647.26

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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.