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Finding the Fourth Proportional to 786.37, 1,178.56 and 688.64

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Solution

The fourth proportional to 786.37, 1,178.56 and 688.64 is: 1,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.37 : 1,178.56 = 688.64 : x
  2. Step 2: Convert to fraction form
    786.37/1,178.56 = 688.64/x
  3. Step 3: Cross multiply
    786.37x = 1,178.56 × 688.64
  4. Step 4: Simplify right side
    786.37x = 811,599.49
  5. Step 5: Solve for x
    x = 811,599.49/786.37
  6. Step 6: Final answer
    x = 1,032.09

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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.