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Finding the Fourth Proportional to 1,105.13, 1,525.11 and 607.80

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Solution

The fourth proportional to 1,105.13, 1,525.11 and 607.80 is: 838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.13 : 1,525.11 = 607.80 : x
  2. Step 2: Convert to fraction form
    1,105.13/1,525.11 = 607.80/x
  3. Step 3: Cross multiply
    1,105.13x = 1,525.11 × 607.80
  4. Step 4: Simplify right side
    1,105.13x = 926,961.86
  5. Step 5: Solve for x
    x = 926,961.86/1,105.13
  6. Step 6: Final answer
    x = 838.78

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Double scale
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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.