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Finding the Fourth Proportional to 1,015.59, 1,401.52 and 549.84

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Solution

The fourth proportional to 1,015.59, 1,401.52 and 549.84 is: 758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.59 : 1,401.52 = 549.84 : x
  2. Step 2: Convert to fraction form
    1,015.59/1,401.52 = 549.84/x
  3. Step 3: Cross multiply
    1,015.59x = 1,401.52 × 549.84
  4. Step 4: Simplify right side
    1,015.59x = 770,616.67
  5. Step 5: Solve for x
    x = 770,616.67/1,015.59
  6. Step 6: Final answer
    x = 758.78

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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.