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Finding the Fourth Proportional to 1,311.51, 1,967.28 and 824.91

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Solution

The fourth proportional to 1,311.51, 1,967.28 and 824.91 is: 1,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.51 : 1,967.28 = 824.91 : x
  2. Step 2: Convert to fraction form
    1,311.51/1,967.28 = 824.91/x
  3. Step 3: Cross multiply
    1,311.51x = 1,967.28 × 824.91
  4. Step 4: Simplify right side
    1,311.51x = 1,622,828.94
  5. Step 5: Solve for x
    x = 1,622,828.94/1,311.51
  6. Step 6: Final answer
    x = 1,237.37

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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.