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Finding the Fourth Proportional to 1,234.19, 1,702.42 and 762.23

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Solution

The fourth proportional to 1,234.19, 1,702.42 and 762.23 is: 1,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.19 : 1,702.42 = 762.23 : x
  2. Step 2: Convert to fraction form
    1,234.19/1,702.42 = 762.23/x
  3. Step 3: Cross multiply
    1,234.19x = 1,702.42 × 762.23
  4. Step 4: Simplify right side
    1,234.19x = 1,297,637.95
  5. Step 5: Solve for x
    x = 1,297,637.95/1,234.19
  6. Step 6: Final answer
    x = 1,051.41

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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.