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Finding the Fourth Proportional to 523.29, 779.37 and 508.94

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Solution

The fourth proportional to 523.29, 779.37 and 508.94 is: 758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.29 : 779.37 = 508.94 : x
  2. Step 2: Convert to fraction form
    523.29/779.37 = 508.94/x
  3. Step 3: Cross multiply
    523.29x = 779.37 × 508.94
  4. Step 4: Simplify right side
    523.29x = 396,652.57
  5. Step 5: Solve for x
    x = 396,652.57/523.29
  6. Step 6: Final answer
    x = 758.00

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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.