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Finding the Fourth Proportional to 511.79, 762.75 and 498.83

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Solution

The fourth proportional to 511.79, 762.75 and 498.83 is: 743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.79 : 762.75 = 498.83 : x
  2. Step 2: Convert to fraction form
    511.79/762.75 = 498.83/x
  3. Step 3: Cross multiply
    511.79x = 762.75 × 498.83
  4. Step 4: Simplify right side
    511.79x = 380,478.77
  5. Step 5: Solve for x
    x = 380,478.77/511.79
  6. Step 6: Final answer
    x = 743.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.