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Finding the Fourth Proportional to 786.62, 1,180.04 and 420.91

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Solution

The fourth proportional to 786.62, 1,180.04 and 420.91 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.62 : 1,180.04 = 420.91 : x
  2. Step 2: Convert to fraction form
    786.62/1,180.04 = 420.91/x
  3. Step 3: Cross multiply
    786.62x = 1,180.04 × 420.91
  4. Step 4: Simplify right side
    786.62x = 496,685.58
  5. Step 5: Solve for x
    x = 496,685.58/786.62
  6. Step 6: Final answer
    x = 631.42

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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.