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Finding the Fourth Proportional to 993.93, 1,492.17 and 983.58

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Solution

The fourth proportional to 993.93, 1,492.17 and 983.58 is: 1,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.93 : 1,492.17 = 983.58 : x
  2. Step 2: Convert to fraction form
    993.93/1,492.17 = 983.58/x
  3. Step 3: Cross multiply
    993.93x = 1,492.17 × 983.58
  4. Step 4: Simplify right side
    993.93x = 1,467,668.57
  5. Step 5: Solve for x
    x = 1,467,668.57/993.93
  6. Step 6: Final answer
    x = 1,476.63

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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.