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Finding the Fourth Proportional to 1,134.61, 1,701.96 and 518.35

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Solution

The fourth proportional to 1,134.61, 1,701.96 and 518.35 is: 777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.61 : 1,701.96 = 518.35 : x
  2. Step 2: Convert to fraction form
    1,134.61/1,701.96 = 518.35/x
  3. Step 3: Cross multiply
    1,134.61x = 1,701.96 × 518.35
  4. Step 4: Simplify right side
    1,134.61x = 882,210.97
  5. Step 5: Solve for x
    x = 882,210.97/1,134.61
  6. Step 6: Final answer
    x = 777.55

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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.