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Finding the Fourth Proportional to 557.68, 771.32 and 499.44

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Solution

The fourth proportional to 557.68, 771.32 and 499.44 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.68 : 771.32 = 499.44 : x
  2. Step 2: Convert to fraction form
    557.68/771.32 = 499.44/x
  3. Step 3: Cross multiply
    557.68x = 771.32 × 499.44
  4. Step 4: Simplify right side
    557.68x = 385,228.06
  5. Step 5: Solve for x
    x = 385,228.06/557.68
  6. Step 6: Final answer
    x = 690.77

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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.