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Finding the Fourth Proportional to 557, 768.68 and 308.32

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Solution

The fourth proportional to 557, 768.68 and 308.32 is: 425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557 : 768.68 = 308.32 : x
  2. Step 2: Convert to fraction form
    557/768.68 = 308.32/x
  3. Step 3: Cross multiply
    557x = 768.68 × 308.32
  4. Step 4: Simplify right side
    557x = 236,999.42
  5. Step 5: Solve for x
    x = 236,999.42/557
  6. Step 6: Final answer
    x = 425.49

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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.