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Finding the Fourth Proportional to 1,110.78, 1,533.03 and 638.75

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Solution

The fourth proportional to 1,110.78, 1,533.03 and 638.75 is: 881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.78 : 1,533.03 = 638.75 : x
  2. Step 2: Convert to fraction form
    1,110.78/1,533.03 = 638.75/x
  3. Step 3: Cross multiply
    1,110.78x = 1,533.03 × 638.75
  4. Step 4: Simplify right side
    1,110.78x = 979,222.91
  5. Step 5: Solve for x
    x = 979,222.91/1,110.78
  6. Step 6: Final answer
    x = 881.56

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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.