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Finding the Fourth Proportional to 1,172.58, 1,615.34 and 1,004

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Solution

The fourth proportional to 1,172.58, 1,615.34 and 1,004 is: 1,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.58 : 1,615.34 = 1,004 : x
  2. Step 2: Convert to fraction form
    1,172.58/1,615.34 = 1,004/x
  3. Step 3: Cross multiply
    1,172.58x = 1,615.34 × 1,004
  4. Step 4: Simplify right side
    1,172.58x = 1,621,801.36
  5. Step 5: Solve for x
    x = 1,621,801.36/1,172.58
  6. Step 6: Final answer
    x = 1,383.11

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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.