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Finding the Fourth Proportional to 785.42, 1,178.04 and 208.34

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Solution

The fourth proportional to 785.42, 1,178.04 and 208.34 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,178.04 = 208.34 : x
  2. Step 2: Convert to fraction form
    785.42/1,178.04 = 208.34/x
  3. Step 3: Cross multiply
    785.42x = 1,178.04 × 208.34
  4. Step 4: Simplify right side
    785.42x = 245,432.85
  5. Step 5: Solve for x
    x = 245,432.85/785.42
  6. Step 6: Final answer
    x = 312.49

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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.