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Finding the Fourth Proportional to 1,803.97, 2,706.18 and 571.15

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Solution

The fourth proportional to 1,803.97, 2,706.18 and 571.15 is: 856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.97 : 2,706.18 = 571.15 : x
  2. Step 2: Convert to fraction form
    1,803.97/2,706.18 = 571.15/x
  3. Step 3: Cross multiply
    1,803.97x = 2,706.18 × 571.15
  4. Step 4: Simplify right side
    1,803.97x = 1,545,634.71
  5. Step 5: Solve for x
    x = 1,545,634.71/1,803.97
  6. Step 6: Final answer
    x = 856.80

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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.