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Finding the Fourth Proportional to 1,134.51, 1,701.76 and 518.05

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Solution

The fourth proportional to 1,134.51, 1,701.76 and 518.05 is: 777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.51 : 1,701.76 = 518.05 : x
  2. Step 2: Convert to fraction form
    1,134.51/1,701.76 = 518.05/x
  3. Step 3: Cross multiply
    1,134.51x = 1,701.76 × 518.05
  4. Step 4: Simplify right side
    1,134.51x = 881,589.00
  5. Step 5: Solve for x
    x = 881,589.00/1,134.51
  6. Step 6: Final answer
    x = 777.07

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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.