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Finding the Fourth Proportional to 519.60, 776.40 and 453.72

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Solution

The fourth proportional to 519.60, 776.40 and 453.72 is: 677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 776.40 = 453.72 : x
  2. Step 2: Convert to fraction form
    519.60/776.40 = 453.72/x
  3. Step 3: Cross multiply
    519.60x = 776.40 × 453.72
  4. Step 4: Simplify right side
    519.60x = 352,268.21
  5. Step 5: Solve for x
    x = 352,268.21/519.60
  6. Step 6: Final answer
    x = 677.96

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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.