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Finding the Fourth Proportional to 993.97, 1,490.97 and 474.03

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Solution

The fourth proportional to 993.97, 1,490.97 and 474.03 is: 711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.97 : 1,490.97 = 474.03 : x
  2. Step 2: Convert to fraction form
    993.97/1,490.97 = 474.03/x
  3. Step 3: Cross multiply
    993.97x = 1,490.97 × 474.03
  4. Step 4: Simplify right side
    993.97x = 706,764.51
  5. Step 5: Solve for x
    x = 706,764.51/993.97
  6. Step 6: Final answer
    x = 711.05

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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.