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Finding the Fourth Proportional to 786.03, 1,176.65 and 539.79

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Solution

The fourth proportional to 786.03, 1,176.65 and 539.79 is: 808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.03 : 1,176.65 = 539.79 : x
  2. Step 2: Convert to fraction form
    786.03/1,176.65 = 539.79/x
  3. Step 3: Cross multiply
    786.03x = 1,176.65 × 539.79
  4. Step 4: Simplify right side
    786.03x = 635,141.20
  5. Step 5: Solve for x
    x = 635,141.20/786.03
  6. Step 6: Final answer
    x = 808.04

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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.