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Finding the Fourth Proportional to 1,108.14, 1,528.88 and 635.89

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Solution

The fourth proportional to 1,108.14, 1,528.88 and 635.89 is: 877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.14 : 1,528.88 = 635.89 : x
  2. Step 2: Convert to fraction form
    1,108.14/1,528.88 = 635.89/x
  3. Step 3: Cross multiply
    1,108.14x = 1,528.88 × 635.89
  4. Step 4: Simplify right side
    1,108.14x = 972,199.50
  5. Step 5: Solve for x
    x = 972,199.50/1,108.14
  6. Step 6: Final answer
    x = 877.33

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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.