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Finding the Fourth Proportional to 599.19, 827.37 and 509.79

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Solution

The fourth proportional to 599.19, 827.37 and 509.79 is: 703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.19 : 827.37 = 509.79 : x
  2. Step 2: Convert to fraction form
    599.19/827.37 = 509.79/x
  3. Step 3: Cross multiply
    599.19x = 827.37 × 509.79
  4. Step 4: Simplify right side
    599.19x = 421,784.95
  5. Step 5: Solve for x
    x = 421,784.95/599.19
  6. Step 6: Final answer
    x = 703.93

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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.