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Finding the Fourth Proportional to 1,186.37, 1,780.43 and 570.43

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Solution

The fourth proportional to 1,186.37, 1,780.43 and 570.43 is: 856.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.37 : 1,780.43 = 570.43 : x
  2. Step 2: Convert to fraction form
    1,186.37/1,780.43 = 570.43/x
  3. Step 3: Cross multiply
    1,186.37x = 1,780.43 × 570.43
  4. Step 4: Simplify right side
    1,186.37x = 1,015,610.68
  5. Step 5: Solve for x
    x = 1,015,610.68/1,186.37
  6. Step 6: Final answer
    x = 856.07

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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.