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Finding the Fourth Proportional to 515.84, 769.28 and 423.68

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Solution

The fourth proportional to 515.84, 769.28 and 423.68 is: 631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.84 : 769.28 = 423.68 : x
  2. Step 2: Convert to fraction form
    515.84/769.28 = 423.68/x
  3. Step 3: Cross multiply
    515.84x = 769.28 × 423.68
  4. Step 4: Simplify right side
    515.84x = 325,928.55
  5. Step 5: Solve for x
    x = 325,928.55/515.84
  6. Step 6: Final answer
    x = 631.84

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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.