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Finding the Fourth Proportional to 1,772.25, 2,657.35 and 539.29

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Solution

The fourth proportional to 1,772.25, 2,657.35 and 539.29 is: 808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.25 : 2,657.35 = 539.29 : x
  2. Step 2: Convert to fraction form
    1,772.25/2,657.35 = 539.29/x
  3. Step 3: Cross multiply
    1,772.25x = 2,657.35 × 539.29
  4. Step 4: Simplify right side
    1,772.25x = 1,433,082.28
  5. Step 5: Solve for x
    x = 1,433,082.28/1,772.25
  6. Step 6: Final answer
    x = 808.62

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