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Finding the Fourth Proportional to 1,186.79, 1,780.54 and 840.79

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Solution

The fourth proportional to 1,186.79, 1,780.54 and 840.79 is: 1,261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.79 : 1,780.54 = 840.79 : x
  2. Step 2: Convert to fraction form
    1,186.79/1,780.54 = 840.79/x
  3. Step 3: Cross multiply
    1,186.79x = 1,780.54 × 840.79
  4. Step 4: Simplify right side
    1,186.79x = 1,497,055.34
  5. Step 5: Solve for x
    x = 1,497,055.34/1,186.79
  6. Step 6: Final answer
    x = 1,261.44

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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.