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Finding the Fourth Proportional to 1,317.25, 1,817.81 and 851.50

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Solution

The fourth proportional to 1,317.25, 1,817.81 and 851.50 is: 1,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.25 : 1,817.81 = 851.50 : x
  2. Step 2: Convert to fraction form
    1,317.25/1,817.81 = 851.50/x
  3. Step 3: Cross multiply
    1,317.25x = 1,817.81 × 851.50
  4. Step 4: Simplify right side
    1,317.25x = 1,547,865.22
  5. Step 5: Solve for x
    x = 1,547,865.22/1,317.25
  6. Step 6: Final answer
    x = 1,175.07

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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.