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Finding the Fourth Proportional to 423.84, 630.69 and 422.40

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Solution

The fourth proportional to 423.84, 630.69 and 422.40 is: 628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.84 : 630.69 = 422.40 : x
  2. Step 2: Convert to fraction form
    423.84/630.69 = 422.40/x
  3. Step 3: Cross multiply
    423.84x = 630.69 × 422.40
  4. Step 4: Simplify right side
    423.84x = 266,403.46
  5. Step 5: Solve for x
    x = 266,403.46/423.84
  6. Step 6: Final answer
    x = 628.55

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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.