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Finding the Fourth Proportional to 597.61, 824.43 and 387.86

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Solution

The fourth proportional to 597.61, 824.43 and 387.86 is: 535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.61 : 824.43 = 387.86 : x
  2. Step 2: Convert to fraction form
    597.61/824.43 = 387.86/x
  3. Step 3: Cross multiply
    597.61x = 824.43 × 387.86
  4. Step 4: Simplify right side
    597.61x = 319,763.42
  5. Step 5: Solve for x
    x = 319,763.42/597.61
  6. Step 6: Final answer
    x = 535.07

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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.