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Finding the Fourth Proportional to 788.30, 1,181.54 and 398.58

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Solution

The fourth proportional to 788.30, 1,181.54 and 398.58 is: 597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.30 : 1,181.54 = 398.58 : x
  2. Step 2: Convert to fraction form
    788.30/1,181.54 = 398.58/x
  3. Step 3: Cross multiply
    788.30x = 1,181.54 × 398.58
  4. Step 4: Simplify right side
    788.30x = 470,938.21
  5. Step 5: Solve for x
    x = 470,938.21/788.30
  6. Step 6: Final answer
    x = 597.41

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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.