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Finding the Fourth Proportional to 1,091.03, 1,504.50 and 971.02

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Solution

The fourth proportional to 1,091.03, 1,504.50 and 971.02 is: 1,339.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.03 : 1,504.50 = 971.02 : x
  2. Step 2: Convert to fraction form
    1,091.03/1,504.50 = 971.02/x
  3. Step 3: Cross multiply
    1,091.03x = 1,504.50 × 971.02
  4. Step 4: Simplify right side
    1,091.03x = 1,460,900.56
  5. Step 5: Solve for x
    x = 1,460,900.56/1,091.03
  6. Step 6: Final answer
    x = 1,339.01

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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.