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Finding the Fourth Proportional to 1,190.68, 1,785.66 and 421

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Solution

The fourth proportional to 1,190.68, 1,785.66 and 421 is: 631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.68 : 1,785.66 = 421 : x
  2. Step 2: Convert to fraction form
    1,190.68/1,785.66 = 421/x
  3. Step 3: Cross multiply
    1,190.68x = 1,785.66 × 421
  4. Step 4: Simplify right side
    1,190.68x = 751,762.86
  5. Step 5: Solve for x
    x = 751,762.86/1,190.68
  6. Step 6: Final answer
    x = 631.37

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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.