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Finding the Fourth Proportional to 557.68, 770.56 and 459.36

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Solution

The fourth proportional to 557.68, 770.56 and 459.36 is: 634.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.68 : 770.56 = 459.36 : x
  2. Step 2: Convert to fraction form
    557.68/770.56 = 459.36/x
  3. Step 3: Cross multiply
    557.68x = 770.56 × 459.36
  4. Step 4: Simplify right side
    557.68x = 353,964.44
  5. Step 5: Solve for x
    x = 353,964.44/557.68
  6. Step 6: Final answer
    x = 634.71

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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.