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Finding the Fourth Proportional to 515.04, 712.32 and 459.68

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Solution

The fourth proportional to 515.04, 712.32 and 459.68 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.04 : 712.32 = 459.68 : x
  2. Step 2: Convert to fraction form
    515.04/712.32 = 459.68/x
  3. Step 3: Cross multiply
    515.04x = 712.32 × 459.68
  4. Step 4: Simplify right side
    515.04x = 327,435.70
  5. Step 5: Solve for x
    x = 327,435.70/515.04
  6. Step 6: Final answer
    x = 635.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.