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Finding the Fourth Proportional to 423.18, 630.36 and 404.46

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Solution

The fourth proportional to 423.18, 630.36 and 404.46 is: 602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.18 : 630.36 = 404.46 : x
  2. Step 2: Convert to fraction form
    423.18/630.36 = 404.46/x
  3. Step 3: Cross multiply
    423.18x = 630.36 × 404.46
  4. Step 4: Simplify right side
    423.18x = 254,955.41
  5. Step 5: Solve for x
    x = 254,955.41/423.18
  6. Step 6: Final answer
    x = 602.48

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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.