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Finding the Fourth Proportional to 519.48, 782.75 and 463.52

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Solution

The fourth proportional to 519.48, 782.75 and 463.52 is: 698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.48 : 782.75 = 463.52 : x
  2. Step 2: Convert to fraction form
    519.48/782.75 = 463.52/x
  3. Step 3: Cross multiply
    519.48x = 782.75 × 463.52
  4. Step 4: Simplify right side
    519.48x = 362,823.40
  5. Step 5: Solve for x
    x = 362,823.40/519.48
  6. Step 6: Final answer
    x = 698.44

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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.