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Finding the Fourth Proportional to 519.51, 780.63 and 451.20

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Solution

The fourth proportional to 519.51, 780.63 and 451.20 is: 677.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.51 : 780.63 = 451.20 : x
  2. Step 2: Convert to fraction form
    519.51/780.63 = 451.20/x
  3. Step 3: Cross multiply
    519.51x = 780.63 × 451.20
  4. Step 4: Simplify right side
    519.51x = 352,220.26
  5. Step 5: Solve for x
    x = 352,220.26/519.51
  6. Step 6: Final answer
    x = 677.99

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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.