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Finding the Fourth Proportional to 520.13, 776.39 and 458.62

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Solution

The fourth proportional to 520.13, 776.39 and 458.62 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.13 : 776.39 = 458.62 : x
  2. Step 2: Convert to fraction form
    520.13/776.39 = 458.62/x
  3. Step 3: Cross multiply
    520.13x = 776.39 × 458.62
  4. Step 4: Simplify right side
    520.13x = 356,067.98
  5. Step 5: Solve for x
    x = 356,067.98/520.13
  6. Step 6: Final answer
    x = 684.57

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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.