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Finding the Fourth Proportional to 993.64, 1,483.22 and 920.44

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Solution

The fourth proportional to 993.64, 1,483.22 and 920.44 is: 1,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.64 : 1,483.22 = 920.44 : x
  2. Step 2: Convert to fraction form
    993.64/1,483.22 = 920.44/x
  3. Step 3: Cross multiply
    993.64x = 1,483.22 × 920.44
  4. Step 4: Simplify right side
    993.64x = 1,365,215.02
  5. Step 5: Solve for x
    x = 1,365,215.02/993.64
  6. Step 6: Final answer
    x = 1,373.95

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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.