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Finding the Fourth Proportional to 993.96, 1,492.56 and 747.18

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Solution

The fourth proportional to 993.96, 1,492.56 and 747.18 is: 1,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.96 : 1,492.56 = 747.18 : x
  2. Step 2: Convert to fraction form
    993.96/1,492.56 = 747.18/x
  3. Step 3: Cross multiply
    993.96x = 1,492.56 × 747.18
  4. Step 4: Simplify right side
    993.96x = 1,115,210.98
  5. Step 5: Solve for x
    x = 1,115,210.98/993.96
  6. Step 6: Final answer
    x = 1,121.99

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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.