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Finding the Fourth Proportional to 786.46, 1,178.72 and 352.72

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Solution

The fourth proportional to 786.46, 1,178.72 and 352.72 is: 528.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.46 : 1,178.72 = 352.72 : x
  2. Step 2: Convert to fraction form
    786.46/1,178.72 = 352.72/x
  3. Step 3: Cross multiply
    786.46x = 1,178.72 × 352.72
  4. Step 4: Simplify right side
    786.46x = 415,758.12
  5. Step 5: Solve for x
    x = 415,758.12/786.46
  6. Step 6: Final answer
    x = 528.64

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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.