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Finding the Fourth Proportional to 847.90, 1,274.07 and 692.26

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Solution

The fourth proportional to 847.90, 1,274.07 and 692.26 is: 1,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.90 : 1,274.07 = 692.26 : x
  2. Step 2: Convert to fraction form
    847.90/1,274.07 = 692.26/x
  3. Step 3: Cross multiply
    847.90x = 1,274.07 × 692.26
  4. Step 4: Simplify right side
    847.90x = 881,987.70
  5. Step 5: Solve for x
    x = 881,987.70/847.90
  6. Step 6: Final answer
    x = 1,040.20

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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.