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Finding the Fourth Proportional to 1,226.04, 1,692.06 and 702.18

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Solution

The fourth proportional to 1,226.04, 1,692.06 and 702.18 is: 969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.04 : 1,692.06 = 702.18 : x
  2. Step 2: Convert to fraction form
    1,226.04/1,692.06 = 702.18/x
  3. Step 3: Cross multiply
    1,226.04x = 1,692.06 × 702.18
  4. Step 4: Simplify right side
    1,226.04x = 1,188,130.69
  5. Step 5: Solve for x
    x = 1,188,130.69/1,226.04
  6. Step 6: Final answer
    x = 969.08

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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.