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Finding the Fourth Proportional to 1,226.20, 1,692.30 and 702.40

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Solution

The fourth proportional to 1,226.20, 1,692.30 and 702.40 is: 969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.20 : 1,692.30 = 702.40 : x
  2. Step 2: Convert to fraction form
    1,226.20/1,692.30 = 702.40/x
  3. Step 3: Cross multiply
    1,226.20x = 1,692.30 × 702.40
  4. Step 4: Simplify right side
    1,226.20x = 1,188,671.52
  5. Step 5: Solve for x
    x = 1,188,671.52/1,226.20
  6. Step 6: Final answer
    x = 969.39

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1.5x scale

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.