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Finding the Fourth Proportional to 1,134.39, 1,701.36 and 312.45

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Solution

The fourth proportional to 1,134.39, 1,701.36 and 312.45 is: 468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.39 : 1,701.36 = 312.45 : x
  2. Step 2: Convert to fraction form
    1,134.39/1,701.36 = 312.45/x
  3. Step 3: Cross multiply
    1,134.39x = 1,701.36 × 312.45
  4. Step 4: Simplify right side
    1,134.39x = 531,589.93
  5. Step 5: Solve for x
    x = 531,589.93/1,134.39
  6. Step 6: Final answer
    x = 468.61

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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.