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Finding the Fourth Proportional to 1,571.97, 2,357.96 and 545.25

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Solution

The fourth proportional to 1,571.97, 2,357.96 and 545.25 is: 817.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.97 : 2,357.96 = 545.25 : x
  2. Step 2: Convert to fraction form
    1,571.97/2,357.96 = 545.25/x
  3. Step 3: Cross multiply
    1,571.97x = 2,357.96 × 545.25
  4. Step 4: Simplify right side
    1,571.97x = 1,285,674.96
  5. Step 5: Solve for x
    x = 1,285,674.96/1,571.97
  6. Step 6: Final answer
    x = 817.88

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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.