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Finding the Fourth Proportional to 523.10, 779.17 and 499.40

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Solution

The fourth proportional to 523.10, 779.17 and 499.40 is: 743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.10 : 779.17 = 499.40 : x
  2. Step 2: Convert to fraction form
    523.10/779.17 = 499.40/x
  3. Step 3: Cross multiply
    523.10x = 779.17 × 499.40
  4. Step 4: Simplify right side
    523.10x = 389,117.50
  5. Step 5: Solve for x
    x = 389,117.50/523.10
  6. Step 6: Final answer
    x = 743.87

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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.