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Finding the Fourth Proportional to 597.20, 823.76 and 387.30

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Solution

The fourth proportional to 597.20, 823.76 and 387.30 is: 534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.20 : 823.76 = 387.30 : x
  2. Step 2: Convert to fraction form
    597.20/823.76 = 387.30/x
  3. Step 3: Cross multiply
    597.20x = 823.76 × 387.30
  4. Step 4: Simplify right side
    597.20x = 319,042.25
  5. Step 5: Solve for x
    x = 319,042.25/597.20
  6. Step 6: Final answer
    x = 534.23

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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.