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Finding the Fourth Proportional to 786.32, 1,178.74 and 401.12

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Solution

The fourth proportional to 786.32, 1,178.74 and 401.12 is: 601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.32 : 1,178.74 = 401.12 : x
  2. Step 2: Convert to fraction form
    786.32/1,178.74 = 401.12/x
  3. Step 3: Cross multiply
    786.32x = 1,178.74 × 401.12
  4. Step 4: Simplify right side
    786.32x = 472,816.19
  5. Step 5: Solve for x
    x = 472,816.19/786.32
  6. Step 6: Final answer
    x = 601.30

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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.