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Finding the Fourth Proportional to 786.54, 1,178.46 and 542.20

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Solution

The fourth proportional to 786.54, 1,178.46 and 542.20 is: 812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.54 : 1,178.46 = 542.20 : x
  2. Step 2: Convert to fraction form
    786.54/1,178.46 = 542.20/x
  3. Step 3: Cross multiply
    786.54x = 1,178.46 × 542.20
  4. Step 4: Simplify right side
    786.54x = 638,961.01
  5. Step 5: Solve for x
    x = 638,961.01/786.54
  6. Step 6: Final answer
    x = 812.37

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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.