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Finding the Fourth Proportional to 786.62, 1,178.38 and 477.54

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Solution

The fourth proportional to 786.62, 1,178.38 and 477.54 is: 715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.62 : 1,178.38 = 477.54 : x
  2. Step 2: Convert to fraction form
    786.62/1,178.38 = 477.54/x
  3. Step 3: Cross multiply
    786.62x = 1,178.38 × 477.54
  4. Step 4: Simplify right side
    786.62x = 562,723.59
  5. Step 5: Solve for x
    x = 562,723.59/786.62
  6. Step 6: Final answer
    x = 715.37

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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.