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Finding the Fourth Proportional to 786.84, 1,184.87 and 582.86

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Solution

The fourth proportional to 786.84, 1,184.87 and 582.86 is: 877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.84 : 1,184.87 = 582.86 : x
  2. Step 2: Convert to fraction form
    786.84/1,184.87 = 582.86/x
  3. Step 3: Cross multiply
    786.84x = 1,184.87 × 582.86
  4. Step 4: Simplify right side
    786.84x = 690,604.49
  5. Step 5: Solve for x
    x = 690,604.49/786.84
  6. Step 6: Final answer
    x = 877.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.