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Finding the Fourth Proportional to 993.86, 1,492.08 and 811.64

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Solution

The fourth proportional to 993.86, 1,492.08 and 811.64 is: 1,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.86 : 1,492.08 = 811.64 : x
  2. Step 2: Convert to fraction form
    993.86/1,492.08 = 811.64/x
  3. Step 3: Cross multiply
    993.86x = 1,492.08 × 811.64
  4. Step 4: Simplify right side
    993.86x = 1,211,031.81
  5. Step 5: Solve for x
    x = 1,211,031.81/993.86
  6. Step 6: Final answer
    x = 1,218.51

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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.