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Finding the Fourth Proportional to 1,015.97, 1,524.78 and 529.16

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Solution

The fourth proportional to 1,015.97, 1,524.78 and 529.16 is: 794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.97 : 1,524.78 = 529.16 : x
  2. Step 2: Convert to fraction form
    1,015.97/1,524.78 = 529.16/x
  3. Step 3: Cross multiply
    1,015.97x = 1,524.78 × 529.16
  4. Step 4: Simplify right side
    1,015.97x = 806,844.96
  5. Step 5: Solve for x
    x = 806,844.96/1,015.97
  6. Step 6: Final answer
    x = 794.17

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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.