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Finding the Fourth Proportional to 454.20, 630.02 and 438.66

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Solution

The fourth proportional to 454.20, 630.02 and 438.66 is: 608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.20 : 630.02 = 438.66 : x
  2. Step 2: Convert to fraction form
    454.20/630.02 = 438.66/x
  3. Step 3: Cross multiply
    454.20x = 630.02 × 438.66
  4. Step 4: Simplify right side
    454.20x = 276,362.38
  5. Step 5: Solve for x
    x = 276,362.38/454.20
  6. Step 6: Final answer
    x = 608.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.