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Finding the Fourth Proportional to 556.61, 764.57 and 451.24

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Solution

The fourth proportional to 556.61, 764.57 and 451.24 is: 619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 764.57 = 451.24 : x
  2. Step 2: Convert to fraction form
    556.61/764.57 = 451.24/x
  3. Step 3: Cross multiply
    556.61x = 764.57 × 451.24
  4. Step 4: Simplify right side
    556.61x = 345,003.78
  5. Step 5: Solve for x
    x = 345,003.78/556.61
  6. Step 6: Final answer
    x = 619.84

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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.