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Finding the Fourth Proportional to 1,015.16, 1,519.65 and 650.20

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Solution

The fourth proportional to 1,015.16, 1,519.65 and 650.20 is: 973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.16 : 1,519.65 = 650.20 : x
  2. Step 2: Convert to fraction form
    1,015.16/1,519.65 = 650.20/x
  3. Step 3: Cross multiply
    1,015.16x = 1,519.65 × 650.20
  4. Step 4: Simplify right side
    1,015.16x = 988,073.18
  5. Step 5: Solve for x
    x = 988,073.18/1,015.16
  6. Step 6: Final answer
    x = 973.32

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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.