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Finding the Fourth Proportional to 704.37, 970.94 and 518.07

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Solution

The fourth proportional to 704.37, 970.94 and 518.07 is: 714.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.37 : 970.94 = 518.07 : x
  2. Step 2: Convert to fraction form
    704.37/970.94 = 518.07/x
  3. Step 3: Cross multiply
    704.37x = 970.94 × 518.07
  4. Step 4: Simplify right side
    704.37x = 503,016.18
  5. Step 5: Solve for x
    x = 503,016.18/704.37
  6. Step 6: Final answer
    x = 714.14

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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.