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Finding the Fourth Proportional to 1,112.12, 1,534.64 and 639.99

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Solution

The fourth proportional to 1,112.12, 1,534.64 and 639.99 is: 883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.12 : 1,534.64 = 639.99 : x
  2. Step 2: Convert to fraction form
    1,112.12/1,534.64 = 639.99/x
  3. Step 3: Cross multiply
    1,112.12x = 1,534.64 × 639.99
  4. Step 4: Simplify right side
    1,112.12x = 982,151.05
  5. Step 5: Solve for x
    x = 982,151.05/1,112.12
  6. Step 6: Final answer
    x = 883.14

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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.