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Finding the Fourth Proportional to 597.08, 824.34 and 387.35

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Solution

The fourth proportional to 597.08, 824.34 and 387.35 is: 534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.08 : 824.34 = 387.35 : x
  2. Step 2: Convert to fraction form
    597.08/824.34 = 387.35/x
  3. Step 3: Cross multiply
    597.08x = 824.34 × 387.35
  4. Step 4: Simplify right side
    597.08x = 319,303.98
  5. Step 5: Solve for x
    x = 319,303.98/597.08
  6. Step 6: Final answer
    x = 534.78

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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.