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Finding the Fourth Proportional to 1,105.40, 1,525.38 and 608.02

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Solution

The fourth proportional to 1,105.40, 1,525.38 and 608.02 is: 839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.40 : 1,525.38 = 608.02 : x
  2. Step 2: Convert to fraction form
    1,105.40/1,525.38 = 608.02/x
  3. Step 3: Cross multiply
    1,105.40x = 1,525.38 × 608.02
  4. Step 4: Simplify right side
    1,105.40x = 927,461.55
  5. Step 5: Solve for x
    x = 927,461.55/1,105.40
  6. Step 6: Final answer
    x = 839.03

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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.