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Finding the Fourth Proportional to 788.52, 1,181.80 and 500.04

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Solution

The fourth proportional to 788.52, 1,181.80 and 500.04 is: 749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.52 : 1,181.80 = 500.04 : x
  2. Step 2: Convert to fraction form
    788.52/1,181.80 = 500.04/x
  3. Step 3: Cross multiply
    788.52x = 1,181.80 × 500.04
  4. Step 4: Simplify right side
    788.52x = 590,947.27
  5. Step 5: Solve for x
    x = 590,947.27/788.52
  6. Step 6: Final answer
    x = 749.44

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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.