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Finding the Fourth Proportional to 1,102.93, 1,521.96 and 654.82

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Solution

The fourth proportional to 1,102.93, 1,521.96 and 654.82 is: 903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.93 : 1,521.96 = 654.82 : x
  2. Step 2: Convert to fraction form
    1,102.93/1,521.96 = 654.82/x
  3. Step 3: Cross multiply
    1,102.93x = 1,521.96 × 654.82
  4. Step 4: Simplify right side
    1,102.93x = 996,609.85
  5. Step 5: Solve for x
    x = 996,609.85/1,102.93
  6. Step 6: Final answer
    x = 903.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.