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Finding the Fourth Proportional to 1,133.38, 1,564.12 and 635.98

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Solution

The fourth proportional to 1,133.38, 1,564.12 and 635.98 is: 877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.38 : 1,564.12 = 635.98 : x
  2. Step 2: Convert to fraction form
    1,133.38/1,564.12 = 635.98/x
  3. Step 3: Cross multiply
    1,133.38x = 1,564.12 × 635.98
  4. Step 4: Simplify right side
    1,133.38x = 994,743.54
  5. Step 5: Solve for x
    x = 994,743.54/1,133.38
  6. Step 6: Final answer
    x = 877.68

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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.