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Finding the Fourth Proportional to 1,812.55, 2,717.22 and 717.70

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Solution

The fourth proportional to 1,812.55, 2,717.22 and 717.70 is: 1,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.55 : 2,717.22 = 717.70 : x
  2. Step 2: Convert to fraction form
    1,812.55/2,717.22 = 717.70/x
  3. Step 3: Cross multiply
    1,812.55x = 2,717.22 × 717.70
  4. Step 4: Simplify right side
    1,812.55x = 1,950,148.79
  5. Step 5: Solve for x
    x = 1,950,148.79/1,812.55
  6. Step 6: Final answer
    x = 1,075.91

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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.