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Finding the Fourth Proportional to 1,135.07, 1,566.43 and 637.73

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Solution

The fourth proportional to 1,135.07, 1,566.43 and 637.73 is: 880.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.07 : 1,566.43 = 637.73 : x
  2. Step 2: Convert to fraction form
    1,135.07/1,566.43 = 637.73/x
  3. Step 3: Cross multiply
    1,135.07x = 1,566.43 × 637.73
  4. Step 4: Simplify right side
    1,135.07x = 998,951.57
  5. Step 5: Solve for x
    x = 998,951.57/1,135.07
  6. Step 6: Final answer
    x = 880.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.