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Finding the Fourth Proportional to 1,105.08, 1,524.93 and 607.74

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Solution

The fourth proportional to 1,105.08, 1,524.93 and 607.74 is: 838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.08 : 1,524.93 = 607.74 : x
  2. Step 2: Convert to fraction form
    1,105.08/1,524.93 = 607.74/x
  3. Step 3: Cross multiply
    1,105.08x = 1,524.93 × 607.74
  4. Step 4: Simplify right side
    1,105.08x = 926,760.96
  5. Step 5: Solve for x
    x = 926,760.96/1,105.08
  6. Step 6: Final answer
    x = 838.64

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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.