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Finding the Fourth Proportional to 1,271.50, 1,907.80 and 685.82

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Solution

The fourth proportional to 1,271.50, 1,907.80 and 685.82 is: 1,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.50 : 1,907.80 = 685.82 : x
  2. Step 2: Convert to fraction form
    1,271.50/1,907.80 = 685.82/x
  3. Step 3: Cross multiply
    1,271.50x = 1,907.80 × 685.82
  4. Step 4: Simplify right side
    1,271.50x = 1,308,407.40
  5. Step 5: Solve for x
    x = 1,308,407.40/1,271.50
  6. Step 6: Final answer
    x = 1,029.03

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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.