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Finding the Fourth Proportional to 597.28, 822.27 and 515.47

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Solution

The fourth proportional to 597.28, 822.27 and 515.47 is: 709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.28 : 822.27 = 515.47 : x
  2. Step 2: Convert to fraction form
    597.28/822.27 = 515.47/x
  3. Step 3: Cross multiply
    597.28x = 822.27 × 515.47
  4. Step 4: Simplify right side
    597.28x = 423,855.52
  5. Step 5: Solve for x
    x = 423,855.52/597.28
  6. Step 6: Final answer
    x = 709.64

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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.