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Finding the Fourth Proportional to 1,812.65, 2,719.13 and 717.08

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Solution

The fourth proportional to 1,812.65, 2,719.13 and 717.08 is: 1,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.65 : 2,719.13 = 717.08 : x
  2. Step 2: Convert to fraction form
    1,812.65/2,719.13 = 717.08/x
  3. Step 3: Cross multiply
    1,812.65x = 2,719.13 × 717.08
  4. Step 4: Simplify right side
    1,812.65x = 1,949,816.56
  5. Step 5: Solve for x
    x = 1,949,816.56/1,812.65
  6. Step 6: Final answer
    x = 1,075.67

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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.