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Finding the Fourth Proportional to 1,015.10, 1,400.84 and 549.35

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Solution

The fourth proportional to 1,015.10, 1,400.84 and 549.35 is: 758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.10 : 1,400.84 = 549.35 : x
  2. Step 2: Convert to fraction form
    1,015.10/1,400.84 = 549.35/x
  3. Step 3: Cross multiply
    1,015.10x = 1,400.84 × 549.35
  4. Step 4: Simplify right side
    1,015.10x = 769,545.21
  5. Step 5: Solve for x
    x = 769,545.21/1,015.10
  6. Step 6: Final answer
    x = 758.10

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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.