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Finding the Fourth Proportional to 1,187.41, 1,782.06 and 700.87

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Solution

The fourth proportional to 1,187.41, 1,782.06 and 700.87 is: 1,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.41 : 1,782.06 = 700.87 : x
  2. Step 2: Convert to fraction form
    1,187.41/1,782.06 = 700.87/x
  3. Step 3: Cross multiply
    1,187.41x = 1,782.06 × 700.87
  4. Step 4: Simplify right side
    1,187.41x = 1,248,992.39
  5. Step 5: Solve for x
    x = 1,248,992.39/1,187.41
  6. Step 6: Final answer
    x = 1,051.86

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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.