Home / 1,134.46-1,701.78-312.73

Finding the Fourth Proportional to 1,134.46, 1,701.78 and 312.73

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Solution

The fourth proportional to 1,134.46, 1,701.78 and 312.73 is: 469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.46 : 1,701.78 = 312.73 : x
  2. Step 2: Convert to fraction form
    1,134.46/1,701.78 = 312.73/x
  3. Step 3: Cross multiply
    1,134.46x = 1,701.78 × 312.73
  4. Step 4: Simplify right side
    1,134.46x = 532,192.62
  5. Step 5: Solve for x
    x = 532,192.62/1,134.46
  6. Step 6: Final answer
    x = 469.12

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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.