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Finding the Fourth Proportional to 1,100.25, 1,518.62 and 634.77

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Solution

The fourth proportional to 1,100.25, 1,518.62 and 634.77 is: 876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.25 : 1,518.62 = 634.77 : x
  2. Step 2: Convert to fraction form
    1,100.25/1,518.62 = 634.77/x
  3. Step 3: Cross multiply
    1,100.25x = 1,518.62 × 634.77
  4. Step 4: Simplify right side
    1,100.25x = 963,971.24
  5. Step 5: Solve for x
    x = 963,971.24/1,100.25
  6. Step 6: Final answer
    x = 876.14

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1.5x scale

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.