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Finding the Fourth Proportional to 785.59, 1,178.09 and 230.13

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Solution

The fourth proportional to 785.59, 1,178.09 and 230.13 is: 345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.59 : 1,178.09 = 230.13 : x
  2. Step 2: Convert to fraction form
    785.59/1,178.09 = 230.13/x
  3. Step 3: Cross multiply
    785.59x = 1,178.09 × 230.13
  4. Step 4: Simplify right side
    785.59x = 271,113.20
  5. Step 5: Solve for x
    x = 271,113.20/785.59
  6. Step 6: Final answer
    x = 345.11

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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.