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Finding the Fourth Proportional to 788, 1,182.08 and 275.20

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Solution

The fourth proportional to 788, 1,182.08 and 275.20 is: 412.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788 : 1,182.08 = 275.20 : x
  2. Step 2: Convert to fraction form
    788/1,182.08 = 275.20/x
  3. Step 3: Cross multiply
    788x = 1,182.08 × 275.20
  4. Step 4: Simplify right side
    788x = 325,308.42
  5. Step 5: Solve for x
    x = 325,308.42/788
  6. Step 6: Final answer
    x = 412.83

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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.