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Finding the Fourth Proportional to 1,191.69, 1,785.10 and 703.56

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Solution

The fourth proportional to 1,191.69, 1,785.10 and 703.56 is: 1,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.69 : 1,785.10 = 703.56 : x
  2. Step 2: Convert to fraction form
    1,191.69/1,785.10 = 703.56/x
  3. Step 3: Cross multiply
    1,191.69x = 1,785.10 × 703.56
  4. Step 4: Simplify right side
    1,191.69x = 1,255,924.96
  5. Step 5: Solve for x
    x = 1,255,924.96/1,191.69
  6. Step 6: Final answer
    x = 1,053.90

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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.