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Finding the Fourth Proportional to 993.13, 1,490.36 and 985.43

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Solution

The fourth proportional to 993.13, 1,490.36 and 985.43 is: 1,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.13 : 1,490.36 = 985.43 : x
  2. Step 2: Convert to fraction form
    993.13/1,490.36 = 985.43/x
  3. Step 3: Cross multiply
    993.13x = 1,490.36 × 985.43
  4. Step 4: Simplify right side
    993.13x = 1,468,644.25
  5. Step 5: Solve for x
    x = 1,468,644.25/993.13
  6. Step 6: Final answer
    x = 1,478.81

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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.