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Finding the Fourth Proportional to 519.50, 782.83 and 430.20

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Solution

The fourth proportional to 519.50, 782.83 and 430.20 is: 648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 782.83 = 430.20 : x
  2. Step 2: Convert to fraction form
    519.50/782.83 = 430.20/x
  3. Step 3: Cross multiply
    519.50x = 782.83 × 430.20
  4. Step 4: Simplify right side
    519.50x = 336,773.47
  5. Step 5: Solve for x
    x = 336,773.47/519.50
  6. Step 6: Final answer
    x = 648.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.