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Finding the Fourth Proportional to 786.89, 1,178.63 and 512.17

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Solution

The fourth proportional to 786.89, 1,178.63 and 512.17 is: 767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.89 : 1,178.63 = 512.17 : x
  2. Step 2: Convert to fraction form
    786.89/1,178.63 = 512.17/x
  3. Step 3: Cross multiply
    786.89x = 1,178.63 × 512.17
  4. Step 4: Simplify right side
    786.89x = 603,650.47
  5. Step 5: Solve for x
    x = 603,650.47/786.89
  6. Step 6: Final answer
    x = 767.13

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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.