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Finding the Fourth Proportional to 1,015.65, 1,401.59 and 549.90

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Solution

The fourth proportional to 1,015.65, 1,401.59 and 549.90 is: 758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.65 : 1,401.59 = 549.90 : x
  2. Step 2: Convert to fraction form
    1,015.65/1,401.59 = 549.90/x
  3. Step 3: Cross multiply
    1,015.65x = 1,401.59 × 549.90
  4. Step 4: Simplify right side
    1,015.65x = 770,727.33
  5. Step 5: Solve for x
    x = 770,727.33/1,015.65
  6. Step 6: Final answer
    x = 758.86

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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.