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Finding the Fourth Proportional to 1,233.95, 1,702.85 and 768.20

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Solution

The fourth proportional to 1,233.95, 1,702.85 and 768.20 is: 1,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.95 : 1,702.85 = 768.20 : x
  2. Step 2: Convert to fraction form
    1,233.95/1,702.85 = 768.20/x
  3. Step 3: Cross multiply
    1,233.95x = 1,702.85 × 768.20
  4. Step 4: Simplify right side
    1,233.95x = 1,308,117.01
  5. Step 5: Solve for x
    x = 1,308,117.01/1,233.95
  6. Step 6: Final answer
    x = 1,060.11

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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.