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Finding the Fourth Proportional to 599.67, 828.14 and 511.83

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Solution

The fourth proportional to 599.67, 828.14 and 511.83 is: 706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 828.14 = 511.83 : x
  2. Step 2: Convert to fraction form
    599.67/828.14 = 511.83/x
  3. Step 3: Cross multiply
    599.67x = 828.14 × 511.83
  4. Step 4: Simplify right side
    599.67x = 423,864.34
  5. Step 5: Solve for x
    x = 423,864.34/599.67
  6. Step 6: Final answer
    x = 706.83

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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.