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Finding the Fourth Proportional to 1,100.41, 1,518.58 and 603.05

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Solution

The fourth proportional to 1,100.41, 1,518.58 and 603.05 is: 832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.41 : 1,518.58 = 603.05 : x
  2. Step 2: Convert to fraction form
    1,100.41/1,518.58 = 603.05/x
  3. Step 3: Cross multiply
    1,100.41x = 1,518.58 × 603.05
  4. Step 4: Simplify right side
    1,100.41x = 915,781.37
  5. Step 5: Solve for x
    x = 915,781.37/1,100.41
  6. Step 6: Final answer
    x = 832.22

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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.