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Finding the Fourth Proportional to 597.50, 824.13 and 518.66

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Solution

The fourth proportional to 597.50, 824.13 and 518.66 is: 715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.50 : 824.13 = 518.66 : x
  2. Step 2: Convert to fraction form
    597.50/824.13 = 518.66/x
  3. Step 3: Cross multiply
    597.50x = 824.13 × 518.66
  4. Step 4: Simplify right side
    597.50x = 427,443.27
  5. Step 5: Solve for x
    x = 427,443.27/597.50
  6. Step 6: Final answer
    x = 715.39

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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.