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Finding the Fourth Proportional to 1,186.50, 1,780.97 and 840.23

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Solution

The fourth proportional to 1,186.50, 1,780.97 and 840.23 is: 1,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.50 : 1,780.97 = 840.23 : x
  2. Step 2: Convert to fraction form
    1,186.50/1,780.97 = 840.23/x
  3. Step 3: Cross multiply
    1,186.50x = 1,780.97 × 840.23
  4. Step 4: Simplify right side
    1,186.50x = 1,496,424.42
  5. Step 5: Solve for x
    x = 1,496,424.42/1,186.50
  6. Step 6: Final answer
    x = 1,261.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.