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Finding the Fourth Proportional to 1,105.66, 1,525.84 and 608.30

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Solution

The fourth proportional to 1,105.66, 1,525.84 and 608.30 is: 839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.66 : 1,525.84 = 608.30 : x
  2. Step 2: Convert to fraction form
    1,105.66/1,525.84 = 608.30/x
  3. Step 3: Cross multiply
    1,105.66x = 1,525.84 × 608.30
  4. Step 4: Simplify right side
    1,105.66x = 928,168.47
  5. Step 5: Solve for x
    x = 928,168.47/1,105.66
  6. Step 6: Final answer
    x = 839.47

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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.