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Finding the Fourth Proportional to 649.58, 892.06 and 556.33

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Solution

The fourth proportional to 649.58, 892.06 and 556.33 is: 764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.58 : 892.06 = 556.33 : x
  2. Step 2: Convert to fraction form
    649.58/892.06 = 556.33/x
  3. Step 3: Cross multiply
    649.58x = 892.06 × 556.33
  4. Step 4: Simplify right side
    649.58x = 496,279.74
  5. Step 5: Solve for x
    x = 496,279.74/649.58
  6. Step 6: Final answer
    x = 764.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.