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Finding the Fourth Proportional to 1,458.51, 2,012.73 and 869.06

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Solution

The fourth proportional to 1,458.51, 2,012.73 and 869.06 is: 1,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.51 : 2,012.73 = 869.06 : x
  2. Step 2: Convert to fraction form
    1,458.51/2,012.73 = 869.06/x
  3. Step 3: Cross multiply
    1,458.51x = 2,012.73 × 869.06
  4. Step 4: Simplify right side
    1,458.51x = 1,749,183.13
  5. Step 5: Solve for x
    x = 1,749,183.13/1,458.51
  6. Step 6: Final answer
    x = 1,199.29

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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.