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Finding the Fourth Proportional to 1,389.97, 2,085.27 and 465.58

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Solution

The fourth proportional to 1,389.97, 2,085.27 and 465.58 is: 698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.97 : 2,085.27 = 465.58 : x
  2. Step 2: Convert to fraction form
    1,389.97/2,085.27 = 465.58/x
  3. Step 3: Cross multiply
    1,389.97x = 2,085.27 × 465.58
  4. Step 4: Simplify right side
    1,389.97x = 970,860.01
  5. Step 5: Solve for x
    x = 970,860.01/1,389.97
  6. Step 6: Final answer
    x = 698.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.