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Finding the Fourth Proportional to 1,053.09, 1,578.25 and 565.57

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Solution

The fourth proportional to 1,053.09, 1,578.25 and 565.57 is: 847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.09 : 1,578.25 = 565.57 : x
  2. Step 2: Convert to fraction form
    1,053.09/1,578.25 = 565.57/x
  3. Step 3: Cross multiply
    1,053.09x = 1,578.25 × 565.57
  4. Step 4: Simplify right side
    1,053.09x = 892,610.85
  5. Step 5: Solve for x
    x = 892,610.85/1,053.09
  6. Step 6: Final answer
    x = 847.61

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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.