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Finding the Fourth Proportional to 1,104.90, 1,524.81 and 607.54

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Solution

The fourth proportional to 1,104.90, 1,524.81 and 607.54 is: 838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.90 : 1,524.81 = 607.54 : x
  2. Step 2: Convert to fraction form
    1,104.90/1,524.81 = 607.54/x
  3. Step 3: Cross multiply
    1,104.90x = 1,524.81 × 607.54
  4. Step 4: Simplify right side
    1,104.90x = 926,381.39
  5. Step 5: Solve for x
    x = 926,381.39/1,104.90
  6. Step 6: Final answer
    x = 838.43

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1.5x scale

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.