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Finding the Fourth Proportional to 1,102.95, 1,654.35 and 281.25

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Solution

The fourth proportional to 1,102.95, 1,654.35 and 281.25 is: 421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.95 : 1,654.35 = 281.25 : x
  2. Step 2: Convert to fraction form
    1,102.95/1,654.35 = 281.25/x
  3. Step 3: Cross multiply
    1,102.95x = 1,654.35 × 281.25
  4. Step 4: Simplify right side
    1,102.95x = 465,285.94
  5. Step 5: Solve for x
    x = 465,285.94/1,102.95
  6. Step 6: Final answer
    x = 421.86

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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.