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Finding the Fourth Proportional to 786.94, 1,181.04 and 462.58

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Solution

The fourth proportional to 786.94, 1,181.04 and 462.58 is: 694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.94 : 1,181.04 = 462.58 : x
  2. Step 2: Convert to fraction form
    786.94/1,181.04 = 462.58/x
  3. Step 3: Cross multiply
    786.94x = 1,181.04 × 462.58
  4. Step 4: Simplify right side
    786.94x = 546,325.48
  5. Step 5: Solve for x
    x = 546,325.48/786.94
  6. Step 6: Final answer
    x = 694.24

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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.