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Finding the Fourth Proportional to 936.50, 1,293.18 and 704.84

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Solution

The fourth proportional to 936.50, 1,293.18 and 704.84 is: 973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.50 : 1,293.18 = 704.84 : x
  2. Step 2: Convert to fraction form
    936.50/1,293.18 = 704.84/x
  3. Step 3: Cross multiply
    936.50x = 1,293.18 × 704.84
  4. Step 4: Simplify right side
    936.50x = 911,484.99
  5. Step 5: Solve for x
    x = 911,484.99/936.50
  6. Step 6: Final answer
    x = 973.29

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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.