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Finding the Fourth Proportional to 615.84, 924.03 and 423.78

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Solution

The fourth proportional to 615.84, 924.03 and 423.78 is: 635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.84 : 924.03 = 423.78 : x
  2. Step 2: Convert to fraction form
    615.84/924.03 = 423.78/x
  3. Step 3: Cross multiply
    615.84x = 924.03 × 423.78
  4. Step 4: Simplify right side
    615.84x = 391,585.43
  5. Step 5: Solve for x
    x = 391,585.43/615.84
  6. Step 6: Final answer
    x = 635.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.