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Finding the Fourth Proportional to 557.77, 768.86 and 459.35

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Solution

The fourth proportional to 557.77, 768.86 and 459.35 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.77 : 768.86 = 459.35 : x
  2. Step 2: Convert to fraction form
    557.77/768.86 = 459.35/x
  3. Step 3: Cross multiply
    557.77x = 768.86 × 459.35
  4. Step 4: Simplify right side
    557.77x = 353,173.54
  5. Step 5: Solve for x
    x = 353,173.54/557.77
  6. Step 6: Final answer
    x = 633.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.