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Finding the Fourth Proportional to 952.50, 1,312.83 and 786.18

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Solution

The fourth proportional to 952.50, 1,312.83 and 786.18 is: 1,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.50 : 1,312.83 = 786.18 : x
  2. Step 2: Convert to fraction form
    952.50/1,312.83 = 786.18/x
  3. Step 3: Cross multiply
    952.50x = 1,312.83 × 786.18
  4. Step 4: Simplify right side
    952.50x = 1,032,120.69
  5. Step 5: Solve for x
    x = 1,032,120.69/952.50
  6. Step 6: Final answer
    x = 1,083.59

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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.