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Finding the Fourth Proportional to 1,107.86, 1,528.86 and 635.76

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Solution

The fourth proportional to 1,107.86, 1,528.86 and 635.76 is: 877.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.86 : 1,528.86 = 635.76 : x
  2. Step 2: Convert to fraction form
    1,107.86/1,528.86 = 635.76/x
  3. Step 3: Cross multiply
    1,107.86x = 1,528.86 × 635.76
  4. Step 4: Simplify right side
    1,107.86x = 971,988.03
  5. Step 5: Solve for x
    x = 971,988.03/1,107.86
  6. Step 6: Final answer
    x = 877.36

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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.