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Finding the Fourth Proportional to 597.43, 824.15 and 387.35

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Solution

The fourth proportional to 597.43, 824.15 and 387.35 is: 534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.43 : 824.15 = 387.35 : x
  2. Step 2: Convert to fraction form
    597.43/824.15 = 387.35/x
  3. Step 3: Cross multiply
    597.43x = 824.15 × 387.35
  4. Step 4: Simplify right side
    597.43x = 319,228.45
  5. Step 5: Solve for x
    x = 319,228.45/597.43
  6. Step 6: Final answer
    x = 534.34

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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.