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Finding the Fourth Proportional to 704.18, 971.82 and 518.52

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Solution

The fourth proportional to 704.18, 971.82 and 518.52 is: 715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.18 : 971.82 = 518.52 : x
  2. Step 2: Convert to fraction form
    704.18/971.82 = 518.52/x
  3. Step 3: Cross multiply
    704.18x = 971.82 × 518.52
  4. Step 4: Simplify right side
    704.18x = 503,908.11
  5. Step 5: Solve for x
    x = 503,908.11/704.18
  6. Step 6: Final answer
    x = 715.59

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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.