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Finding the Fourth Proportional to 1,072.36, 1,615.75 and 969.76

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Solution

The fourth proportional to 1,072.36, 1,615.75 and 969.76 is: 1,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.36 : 1,615.75 = 969.76 : x
  2. Step 2: Convert to fraction form
    1,072.36/1,615.75 = 969.76/x
  3. Step 3: Cross multiply
    1,072.36x = 1,615.75 × 969.76
  4. Step 4: Simplify right side
    1,072.36x = 1,566,889.72
  5. Step 5: Solve for x
    x = 1,566,889.72/1,072.36
  6. Step 6: Final answer
    x = 1,461.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.