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Finding the Fourth Proportional to 1,630.23, 2,443.92 and 533.90

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Solution

The fourth proportional to 1,630.23, 2,443.92 and 533.90 is: 800.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.23 : 2,443.92 = 533.90 : x
  2. Step 2: Convert to fraction form
    1,630.23/2,443.92 = 533.90/x
  3. Step 3: Cross multiply
    1,630.23x = 2,443.92 × 533.90
  4. Step 4: Simplify right side
    1,630.23x = 1,304,796.67
  5. Step 5: Solve for x
    x = 1,304,796.67/1,630.23
  6. Step 6: Final answer
    x = 800.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.