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Finding the Fourth Proportional to 597.20, 824.20 and 376.40

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Solution

The fourth proportional to 597.20, 824.20 and 376.40 is: 519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 824.20 = 376.40 : x
  2. Step 2: Convert to fraction form
    597.20/824.20 = 376.40/x
  3. Step 3: Cross multiply
    597.20x = 824.20 × 376.40
  4. Step 4: Simplify right side
    597.20x = 310,228.88
  5. Step 5: Solve for x
    x = 310,228.88/597.20
  6. Step 6: Final answer
    x = 519.47

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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.