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Finding the Fourth Proportional to 451.90, 619.31 and 451.18

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Solution

The fourth proportional to 451.90, 619.31 and 451.18 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.90 : 619.31 = 451.18 : x
  2. Step 2: Convert to fraction form
    451.90/619.31 = 451.18/x
  3. Step 3: Cross multiply
    451.90x = 619.31 × 451.18
  4. Step 4: Simplify right side
    451.90x = 279,420.29
  5. Step 5: Solve for x
    x = 279,420.29/451.90
  6. Step 6: Final answer
    x = 618.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.