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Finding the Fourth Proportional to 1,100.57, 1,518.78 and 603.23

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Solution

The fourth proportional to 1,100.57, 1,518.78 and 603.23 is: 832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.57 : 1,518.78 = 603.23 : x
  2. Step 2: Convert to fraction form
    1,100.57/1,518.78 = 603.23/x
  3. Step 3: Cross multiply
    1,100.57x = 1,518.78 × 603.23
  4. Step 4: Simplify right side
    1,100.57x = 916,166.07
  5. Step 5: Solve for x
    x = 916,166.07/1,100.57
  6. Step 6: Final answer
    x = 832.45

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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.