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Finding the Fourth Proportional to 1,134.07, 1,701.61 and 517.66

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Solution

The fourth proportional to 1,134.07, 1,701.61 and 517.66 is: 776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.07 : 1,701.61 = 517.66 : x
  2. Step 2: Convert to fraction form
    1,134.07/1,701.61 = 517.66/x
  3. Step 3: Cross multiply
    1,134.07x = 1,701.61 × 517.66
  4. Step 4: Simplify right side
    1,134.07x = 880,849.88
  5. Step 5: Solve for x
    x = 880,849.88/1,134.07
  6. Step 6: Final answer
    x = 776.72

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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.