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Finding the Fourth Proportional to 599.31, 825.06 and 521.67

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Solution

The fourth proportional to 599.31, 825.06 and 521.67 is: 718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.31 : 825.06 = 521.67 : x
  2. Step 2: Convert to fraction form
    599.31/825.06 = 521.67/x
  3. Step 3: Cross multiply
    599.31x = 825.06 × 521.67
  4. Step 4: Simplify right side
    599.31x = 430,409.05
  5. Step 5: Solve for x
    x = 430,409.05/599.31
  6. Step 6: Final answer
    x = 718.17

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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.