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Finding the Fourth Proportional to 423.36, 637.20 and 384.48

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Solution

The fourth proportional to 423.36, 637.20 and 384.48 is: 578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 637.20 = 384.48 : x
  2. Step 2: Convert to fraction form
    423.36/637.20 = 384.48/x
  3. Step 3: Cross multiply
    423.36x = 637.20 × 384.48
  4. Step 4: Simplify right side
    423.36x = 244,990.66
  5. Step 5: Solve for x
    x = 244,990.66/423.36
  6. Step 6: Final answer
    x = 578.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.