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Finding the Fourth Proportional to 1,692.90, 2,539.76 and 720.09

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Solution

The fourth proportional to 1,692.90, 2,539.76 and 720.09 is: 1,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.90 : 2,539.76 = 720.09 : x
  2. Step 2: Convert to fraction form
    1,692.90/2,539.76 = 720.09/x
  3. Step 3: Cross multiply
    1,692.90x = 2,539.76 × 720.09
  4. Step 4: Simplify right side
    1,692.90x = 1,828,852.18
  5. Step 5: Solve for x
    x = 1,828,852.18/1,692.90
  6. Step 6: Final answer
    x = 1,080.31

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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.