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Finding the Fourth Proportional to 1,105.40, 1,525.40 and 608.03

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Solution

The fourth proportional to 1,105.40, 1,525.40 and 608.03 is: 839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.40 : 1,525.40 = 608.03 : x
  2. Step 2: Convert to fraction form
    1,105.40/1,525.40 = 608.03/x
  3. Step 3: Cross multiply
    1,105.40x = 1,525.40 × 608.03
  4. Step 4: Simplify right side
    1,105.40x = 927,486.30
  5. Step 5: Solve for x
    x = 927,486.30/1,105.40
  6. Step 6: Final answer
    x = 839.05

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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.