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Finding the Fourth Proportional to 519.36, 775.52 and 464.16

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Solution

The fourth proportional to 519.36, 775.52 and 464.16 is: 693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.36 : 775.52 = 464.16 : x
  2. Step 2: Convert to fraction form
    519.36/775.52 = 464.16/x
  3. Step 3: Cross multiply
    519.36x = 775.52 × 464.16
  4. Step 4: Simplify right side
    519.36x = 359,965.36
  5. Step 5: Solve for x
    x = 359,965.36/519.36
  6. Step 6: Final answer
    x = 693.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.