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Finding the Fourth Proportional to 1,187.22, 1,780.56 and 407.28

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Solution

The fourth proportional to 1,187.22, 1,780.56 and 407.28 is: 610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.22 : 1,780.56 = 407.28 : x
  2. Step 2: Convert to fraction form
    1,187.22/1,780.56 = 407.28/x
  3. Step 3: Cross multiply
    1,187.22x = 1,780.56 × 407.28
  4. Step 4: Simplify right side
    1,187.22x = 725,186.48
  5. Step 5: Solve for x
    x = 725,186.48/1,187.22
  6. Step 6: Final answer
    x = 610.83

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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.