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Finding the Fourth Proportional to 1,773.87, 2,656.55 and 991.95

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Solution

The fourth proportional to 1,773.87, 2,656.55 and 991.95 is: 1,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.87 : 2,656.55 = 991.95 : x
  2. Step 2: Convert to fraction form
    1,773.87/2,656.55 = 991.95/x
  3. Step 3: Cross multiply
    1,773.87x = 2,656.55 × 991.95
  4. Step 4: Simplify right side
    1,773.87x = 2,635,159.81
  5. Step 5: Solve for x
    x = 2,635,159.81/1,773.87
  6. Step 6: Final answer
    x = 1,485.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.