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Finding the Fourth Proportional to 519.60, 782.97 and 430.29

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Solution

The fourth proportional to 519.60, 782.97 and 430.29 is: 648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 782.97 = 430.29 : x
  2. Step 2: Convert to fraction form
    519.60/782.97 = 430.29/x
  3. Step 3: Cross multiply
    519.60x = 782.97 × 430.29
  4. Step 4: Simplify right side
    519.60x = 336,904.16
  5. Step 5: Solve for x
    x = 336,904.16/519.60
  6. Step 6: Final answer
    x = 648.39

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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.