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Finding the Fourth Proportional to 423.12, 631.94 and 420.36

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Solution

The fourth proportional to 423.12, 631.94 and 420.36 is: 627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.12 : 631.94 = 420.36 : x
  2. Step 2: Convert to fraction form
    423.12/631.94 = 420.36/x
  3. Step 3: Cross multiply
    423.12x = 631.94 × 420.36
  4. Step 4: Simplify right side
    423.12x = 265,642.30
  5. Step 5: Solve for x
    x = 265,642.30/423.12
  6. Step 6: Final answer
    x = 627.82

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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.