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Finding the Fourth Proportional to 1,187.83, 1,780.20 and 859.88

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Solution

The fourth proportional to 1,187.83, 1,780.20 and 859.88 is: 1,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.83 : 1,780.20 = 859.88 : x
  2. Step 2: Convert to fraction form
    1,187.83/1,780.20 = 859.88/x
  3. Step 3: Cross multiply
    1,187.83x = 1,780.20 × 859.88
  4. Step 4: Simplify right side
    1,187.83x = 1,530,762.83
  5. Step 5: Solve for x
    x = 1,530,762.83/1,187.83
  6. Step 6: Final answer
    x = 1,288.70

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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.