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Finding the Fourth Proportional to 524.96, 782.33 and 509.12

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Solution

The fourth proportional to 524.96, 782.33 and 509.12 is: 758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.96 : 782.33 = 509.12 : x
  2. Step 2: Convert to fraction form
    524.96/782.33 = 509.12/x
  3. Step 3: Cross multiply
    524.96x = 782.33 × 509.12
  4. Step 4: Simplify right side
    524.96x = 398,296.33
  5. Step 5: Solve for x
    x = 398,296.33/524.96
  6. Step 6: Final answer
    x = 758.71

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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.