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Finding the Fourth Proportional to 1,104.82, 1,524.62 and 607.46

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Solution

The fourth proportional to 1,104.82, 1,524.62 and 607.46 is: 838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.82 : 1,524.62 = 607.46 : x
  2. Step 2: Convert to fraction form
    1,104.82/1,524.62 = 607.46/x
  3. Step 3: Cross multiply
    1,104.82x = 1,524.62 × 607.46
  4. Step 4: Simplify right side
    1,104.82x = 926,145.67
  5. Step 5: Solve for x
    x = 926,145.67/1,104.82
  6. Step 6: Final answer
    x = 838.28

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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.