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Finding the Fourth Proportional to 519.54, 782.48 and 473.46

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Solution

The fourth proportional to 519.54, 782.48 and 473.46 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 782.48 = 473.46 : x
  2. Step 2: Convert to fraction form
    519.54/782.48 = 473.46/x
  3. Step 3: Cross multiply
    519.54x = 782.48 × 473.46
  4. Step 4: Simplify right side
    519.54x = 370,470.61
  5. Step 5: Solve for x
    x = 370,470.61/519.54
  6. Step 6: Final answer
    x = 713.07

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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.