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Finding the Fourth Proportional to 1,015.14, 1,512.62 and 986.88

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Solution

The fourth proportional to 1,015.14, 1,512.62 and 986.88 is: 1,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.14 : 1,512.62 = 986.88 : x
  2. Step 2: Convert to fraction form
    1,015.14/1,512.62 = 986.88/x
  3. Step 3: Cross multiply
    1,015.14x = 1,512.62 × 986.88
  4. Step 4: Simplify right side
    1,015.14x = 1,492,774.43
  5. Step 5: Solve for x
    x = 1,492,774.43/1,015.14
  6. Step 6: Final answer
    x = 1,470.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.