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Finding the Fourth Proportional to 465.03, 639.90 and 451.40

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Solution

The fourth proportional to 465.03, 639.90 and 451.40 is: 621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.03 : 639.90 = 451.40 : x
  2. Step 2: Convert to fraction form
    465.03/639.90 = 451.40/x
  3. Step 3: Cross multiply
    465.03x = 639.90 × 451.40
  4. Step 4: Simplify right side
    465.03x = 288,847.66
  5. Step 5: Solve for x
    x = 288,847.66/465.03
  6. Step 6: Final answer
    x = 621.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.