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Finding the Fourth Proportional to 786.19, 1,178.50 and 347.68

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Solution

The fourth proportional to 786.19, 1,178.50 and 347.68 is: 521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.19 : 1,178.50 = 347.68 : x
  2. Step 2: Convert to fraction form
    786.19/1,178.50 = 347.68/x
  3. Step 3: Cross multiply
    786.19x = 1,178.50 × 347.68
  4. Step 4: Simplify right side
    786.19x = 409,735.51
  5. Step 5: Solve for x
    x = 409,735.51/786.19
  6. Step 6: Final answer
    x = 521.17

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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.