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Finding the Fourth Proportional to 786.85, 1,179.18 and 591.62

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Solution

The fourth proportional to 786.85, 1,179.18 and 591.62 is: 886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.85 : 1,179.18 = 591.62 : x
  2. Step 2: Convert to fraction form
    786.85/1,179.18 = 591.62/x
  3. Step 3: Cross multiply
    786.85x = 1,179.18 × 591.62
  4. Step 4: Simplify right side
    786.85x = 697,623.51
  5. Step 5: Solve for x
    x = 697,623.51/786.85
  6. Step 6: Final answer
    x = 886.60

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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.