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Finding the Fourth Proportional to 993.70, 1,489.43 and 377.02

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Solution

The fourth proportional to 993.70, 1,489.43 and 377.02 is: 565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.70 : 1,489.43 = 377.02 : x
  2. Step 2: Convert to fraction form
    993.70/1,489.43 = 377.02/x
  3. Step 3: Cross multiply
    993.70x = 1,489.43 × 377.02
  4. Step 4: Simplify right side
    993.70x = 561,544.90
  5. Step 5: Solve for x
    x = 561,544.90/993.70
  6. Step 6: Final answer
    x = 565.11

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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.