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Finding the Fourth Proportional to 785.15, 1,178.26 and 400.67

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Solution

The fourth proportional to 785.15, 1,178.26 and 400.67 is: 601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.15 : 1,178.26 = 400.67 : x
  2. Step 2: Convert to fraction form
    785.15/1,178.26 = 400.67/x
  3. Step 3: Cross multiply
    785.15x = 1,178.26 × 400.67
  4. Step 4: Simplify right side
    785.15x = 472,086.54
  5. Step 5: Solve for x
    x = 472,086.54/785.15
  6. Step 6: Final answer
    x = 601.27

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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.