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Finding the Fourth Proportional to 821.85, 1,228.02 and 692.25

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Solution

The fourth proportional to 821.85, 1,228.02 and 692.25 is: 1,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.85 : 1,228.02 = 692.25 : x
  2. Step 2: Convert to fraction form
    821.85/1,228.02 = 692.25/x
  3. Step 3: Cross multiply
    821.85x = 1,228.02 × 692.25
  4. Step 4: Simplify right side
    821.85x = 850,096.85
  5. Step 5: Solve for x
    x = 850,096.85/821.85
  6. Step 6: Final answer
    x = 1,034.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.