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Finding the Fourth Proportional to 1,017.14, 1,524.11 and 786.59

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Solution

The fourth proportional to 1,017.14, 1,524.11 and 786.59 is: 1,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.14 : 1,524.11 = 786.59 : x
  2. Step 2: Convert to fraction form
    1,017.14/1,524.11 = 786.59/x
  3. Step 3: Cross multiply
    1,017.14x = 1,524.11 × 786.59
  4. Step 4: Simplify right side
    1,017.14x = 1,198,855.46
  5. Step 5: Solve for x
    x = 1,198,855.46/1,017.14
  6. Step 6: Final answer
    x = 1,178.66

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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.