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Finding the Fourth Proportional to 1,312.51, 1,968.78 and 825.91

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Solution

The fourth proportional to 1,312.51, 1,968.78 and 825.91 is: 1,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.51 : 1,968.78 = 825.91 : x
  2. Step 2: Convert to fraction form
    1,312.51/1,968.78 = 825.91/x
  3. Step 3: Cross multiply
    1,312.51x = 1,968.78 × 825.91
  4. Step 4: Simplify right side
    1,312.51x = 1,626,035.09
  5. Step 5: Solve for x
    x = 1,626,035.09/1,312.51
  6. Step 6: Final answer
    x = 1,238.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.