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Finding the Fourth Proportional to 1,134.86, 1,701.68 and 518.18

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Solution

The fourth proportional to 1,134.86, 1,701.68 and 518.18 is: 776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.86 : 1,701.68 = 518.18 : x
  2. Step 2: Convert to fraction form
    1,134.86/1,701.68 = 518.18/x
  3. Step 3: Cross multiply
    1,134.86x = 1,701.68 × 518.18
  4. Step 4: Simplify right side
    1,134.86x = 881,765.44
  5. Step 5: Solve for x
    x = 881,765.44/1,134.86
  6. Step 6: Final answer
    x = 776.99

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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.