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Finding the Fourth Proportional to 599.86, 828.15 and 400.64

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Solution

The fourth proportional to 599.86, 828.15 and 400.64 is: 553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.86 : 828.15 = 400.64 : x
  2. Step 2: Convert to fraction form
    599.86/828.15 = 400.64/x
  3. Step 3: Cross multiply
    599.86x = 828.15 × 400.64
  4. Step 4: Simplify right side
    599.86x = 331,790.02
  5. Step 5: Solve for x
    x = 331,790.02/599.86
  6. Step 6: Final answer
    x = 553.11

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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.