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Finding the Fourth Proportional to 515.84, 712.19 and 460.48

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Solution

The fourth proportional to 515.84, 712.19 and 460.48 is: 635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 712.19 = 460.48 : x
  2. Step 2: Convert to fraction form
    515.84/712.19 = 460.48/x
  3. Step 3: Cross multiply
    515.84x = 712.19 × 460.48
  4. Step 4: Simplify right side
    515.84x = 327,946.95
  5. Step 5: Solve for x
    x = 327,946.95/515.84
  6. Step 6: Final answer
    x = 635.76

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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.