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Finding the Fourth Proportional to 650.76, 979.86 and 542.01

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Solution

The fourth proportional to 650.76, 979.86 and 542.01 is: 816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.76 : 979.86 = 542.01 : x
  2. Step 2: Convert to fraction form
    650.76/979.86 = 542.01/x
  3. Step 3: Cross multiply
    650.76x = 979.86 × 542.01
  4. Step 4: Simplify right side
    650.76x = 531,093.92
  5. Step 5: Solve for x
    x = 531,093.92/650.76
  6. Step 6: Final answer
    x = 816.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.