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Finding the Fourth Proportional to 597.09, 823.37 and 387.03

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Solution

The fourth proportional to 597.09, 823.37 and 387.03 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.09 : 823.37 = 387.03 : x
  2. Step 2: Convert to fraction form
    597.09/823.37 = 387.03/x
  3. Step 3: Cross multiply
    597.09x = 823.37 × 387.03
  4. Step 4: Simplify right side
    597.09x = 318,666.96
  5. Step 5: Solve for x
    x = 318,666.96/597.09
  6. Step 6: Final answer
    x = 533.70

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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.