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Finding the Fourth Proportional to 438.60, 654.15 and 423.12

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Solution

The fourth proportional to 438.60, 654.15 and 423.12 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.60 : 654.15 = 423.12 : x
  2. Step 2: Convert to fraction form
    438.60/654.15 = 423.12/x
  3. Step 3: Cross multiply
    438.60x = 654.15 × 423.12
  4. Step 4: Simplify right side
    438.60x = 276,783.95
  5. Step 5: Solve for x
    x = 276,783.95/438.60
  6. Step 6: Final answer
    x = 631.06

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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.