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Finding the Fourth Proportional to 1,114.23, 1,537.05 and 694.51

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Solution

The fourth proportional to 1,114.23, 1,537.05 and 694.51 is: 958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.23 : 1,537.05 = 694.51 : x
  2. Step 2: Convert to fraction form
    1,114.23/1,537.05 = 694.51/x
  3. Step 3: Cross multiply
    1,114.23x = 1,537.05 × 694.51
  4. Step 4: Simplify right side
    1,114.23x = 1,067,496.60
  5. Step 5: Solve for x
    x = 1,067,496.60/1,114.23
  6. Step 6: Final answer
    x = 958.06

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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.