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Finding the Fourth Proportional to 1,692.31, 2,335.25 and 983.93

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Solution

The fourth proportional to 1,692.31, 2,335.25 and 983.93 is: 1,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.31 : 2,335.25 = 983.93 : x
  2. Step 2: Convert to fraction form
    1,692.31/2,335.25 = 983.93/x
  3. Step 3: Cross multiply
    1,692.31x = 2,335.25 × 983.93
  4. Step 4: Simplify right side
    1,692.31x = 2,297,722.53
  5. Step 5: Solve for x
    x = 2,297,722.53/1,692.31
  6. Step 6: Final answer
    x = 1,357.74

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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.