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Finding the Fourth Proportional to 520.86, 782.61 and 500.37

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Solution

The fourth proportional to 520.86, 782.61 and 500.37 is: 751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.86 : 782.61 = 500.37 : x
  2. Step 2: Convert to fraction form
    520.86/782.61 = 500.37/x
  3. Step 3: Cross multiply
    520.86x = 782.61 × 500.37
  4. Step 4: Simplify right side
    520.86x = 391,594.57
  5. Step 5: Solve for x
    x = 391,594.57/520.86
  6. Step 6: Final answer
    x = 751.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.