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Finding the Fourth Proportional to 993.30, 1,489.92 and 262.88

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Solution

The fourth proportional to 993.30, 1,489.92 and 262.88 is: 394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.30 : 1,489.92 = 262.88 : x
  2. Step 2: Convert to fraction form
    993.30/1,489.92 = 262.88/x
  3. Step 3: Cross multiply
    993.30x = 1,489.92 × 262.88
  4. Step 4: Simplify right side
    993.30x = 391,670.17
  5. Step 5: Solve for x
    x = 391,670.17/993.30
  6. Step 6: Final answer
    x = 394.31

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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.