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Finding the Fourth Proportional to 423.04, 632 and 420.64

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Solution

The fourth proportional to 423.04, 632 and 420.64 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.04 : 632 = 420.64 : x
  2. Step 2: Convert to fraction form
    423.04/632 = 420.64/x
  3. Step 3: Cross multiply
    423.04x = 632 × 420.64
  4. Step 4: Simplify right side
    423.04x = 265,844.48
  5. Step 5: Solve for x
    x = 265,844.48/423.04
  6. Step 6: Final answer
    x = 628.41

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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.