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Finding the Fourth Proportional to 993.88, 1,478.43 and 983.35

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Solution

The fourth proportional to 993.88, 1,478.43 and 983.35 is: 1,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.88 : 1,478.43 = 983.35 : x
  2. Step 2: Convert to fraction form
    993.88/1,478.43 = 983.35/x
  3. Step 3: Cross multiply
    993.88x = 1,478.43 × 983.35
  4. Step 4: Simplify right side
    993.88x = 1,453,814.14
  5. Step 5: Solve for x
    x = 1,453,814.14/993.88
  6. Step 6: Final answer
    x = 1,462.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.