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Finding the Fourth Proportional to 1,311.65, 1,810.07 and 722.18

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Solution

The fourth proportional to 1,311.65, 1,810.07 and 722.18 is: 996.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.65 : 1,810.07 = 722.18 : x
  2. Step 2: Convert to fraction form
    1,311.65/1,810.07 = 722.18/x
  3. Step 3: Cross multiply
    1,311.65x = 1,810.07 × 722.18
  4. Step 4: Simplify right side
    1,311.65x = 1,307,183.69
  5. Step 5: Solve for x
    x = 1,307,183.69/1,311.65
  6. Step 6: Final answer
    x = 996.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.