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Finding the Fourth Proportional to 1,397.51, 2,093.44 and 645.95

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Solution

The fourth proportional to 1,397.51, 2,093.44 and 645.95 is: 967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.51 : 2,093.44 = 645.95 : x
  2. Step 2: Convert to fraction form
    1,397.51/2,093.44 = 645.95/x
  3. Step 3: Cross multiply
    1,397.51x = 2,093.44 × 645.95
  4. Step 4: Simplify right side
    1,397.51x = 1,352,259.57
  5. Step 5: Solve for x
    x = 1,352,259.57/1,397.51
  6. Step 6: Final answer
    x = 967.62

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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.