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Finding the Fourth Proportional to 1,100.54, 1,518.63 and 628.40

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Solution

The fourth proportional to 1,100.54, 1,518.63 and 628.40 is: 867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.54 : 1,518.63 = 628.40 : x
  2. Step 2: Convert to fraction form
    1,100.54/1,518.63 = 628.40/x
  3. Step 3: Cross multiply
    1,100.54x = 1,518.63 × 628.40
  4. Step 4: Simplify right side
    1,100.54x = 954,307.09
  5. Step 5: Solve for x
    x = 954,307.09/1,100.54
  6. Step 6: Final answer
    x = 867.13

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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.