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Finding the Fourth Proportional to 993.28, 1,486.88 and 865.28

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Solution

The fourth proportional to 993.28, 1,486.88 and 865.28 is: 1,295.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.28 : 1,486.88 = 865.28 : x
  2. Step 2: Convert to fraction form
    993.28/1,486.88 = 865.28/x
  3. Step 3: Cross multiply
    993.28x = 1,486.88 × 865.28
  4. Step 4: Simplify right side
    993.28x = 1,286,567.53
  5. Step 5: Solve for x
    x = 1,286,567.53/993.28
  6. Step 6: Final answer
    x = 1,295.27

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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.