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Finding the Fourth Proportional to 520.26, 776.38 and 464.83

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Solution

The fourth proportional to 520.26, 776.38 and 464.83 is: 693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.26 : 776.38 = 464.83 : x
  2. Step 2: Convert to fraction form
    520.26/776.38 = 464.83/x
  3. Step 3: Cross multiply
    520.26x = 776.38 × 464.83
  4. Step 4: Simplify right side
    520.26x = 360,884.72
  5. Step 5: Solve for x
    x = 360,884.72/520.26
  6. Step 6: Final answer
    x = 693.66

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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.