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Finding the Fourth Proportional to 520.24, 776.84 and 410.80

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Solution

The fourth proportional to 520.24, 776.84 and 410.80 is: 613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 776.84 = 410.80 : x
  2. Step 2: Convert to fraction form
    520.24/776.84 = 410.80/x
  3. Step 3: Cross multiply
    520.24x = 776.84 × 410.80
  4. Step 4: Simplify right side
    520.24x = 319,125.87
  5. Step 5: Solve for x
    x = 319,125.87/520.24
  6. Step 6: Final answer
    x = 613.42

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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.